You cannot enjoy the Bible unless you understand it, and you cannot understand it outside of the doctrine of the Catholic Church. For example, the scripture you cited indicates that there is only one sacrifice of Christ, and the Church teaches precisely that. The Eucharist is presenting to us the same, one and only, sacrifice.
You are welcome to visit the Mass, participate int he Liturgy of the Word, which will acquaint you with the bible, and observe the Liturgy of the Eucharist, even though you cannot receive it.
Hebrews is one of my favorite books!
Heb. 2:17; 3:1; 4:14; 8:1; 9:11,25; 10:19,22 - Jesus is repeatedly described as "High Priest." But in order to be a priest, it is necessary for [Jesus] to have something to offer. Heb. 8:3. This is the offering of the eternal sacrifice of His body and blood to the Father.
Heb. 2:18 - although His suffering is past tense, His expiation of our sins is present tense because His offering is continual. Therefore, He is able (present tense) to help those who are tempted.
Heb. 5:6,10; 6:20; 7:15,17 - these verses show that Jesus restores the father-son priesthood after Melchizedek. Jesus is the new priest and King of Jerusalem and feeds the new children of Abraham with His body and blood. This means that His eternal sacrifice is offered in the same manner as the bread and wine offered by Melchizedek in Gen. 14:18. But the bread and wine that Jesus offers is different, just as the Passover Lamb of the New Covenant is different. The bread and wine become His body and blood by the overshadowing of the Holy Spirit.
Heb. 4:3 Gods works were finished from the foundation of the world. This means that Gods works, including Christs sacrifice (the single act that secured the redemption of our souls and bodies), are forever present in eternity. Jesus suffering is over and done with (because suffering was earthly and temporal), but His sacrifice is eternal, because His priesthood is eternal (His victimized state was only temporal).
Heb. 4:14 Jesus the Sacrifice passes through the heavens by the glory cloud of God, just like the sacrifices of Solomon were taken up into heaven by the glory cloud of God in 2 Chron. 7:1. See also Mark 16:19; Luke 24:51; and Acts 1:10.
Heb. 7:24 Jesus holds His priesthood is forever because He continues forever, so His sacrificial offering is forever. He continues to offer His body and blood to us because He is forever our High Priest.
Heb. 8:2 - Jesus is a minister in the sanctuary offering up (present tense) His eternal sacrifice to the Father which is perfected in heaven. This is the same sanctuary that we enter with confidence by the blood of Jesus as written in Heb. 10:19. See also Heb. 12:22-24.
Heb. 8:3 - as High Priest, it is necessary for Jesus to have something to offer. What is Jesus offering in heaven? As eternal Priest, He offers the eternal sacrifice of His body and blood.
Heb. 8:6; 9:15; cf. Heb. 12:22-24; 13:20-21 - the covenant Jesus mediates (present tense) is better than the Old covenant. The covenant He mediates is the covenant of His body and blood which He offers in the Eucharist. See Matt. 26:26-28; Mark. 14:22,24; Luke 22;19-20; 1 Cor. 11:24-25 - which is the only time Jesus uses the word covenant (which is the offering of His body and blood).
Heb. 9:12 Jesus enters into heaven, the Holy Place, taking His own blood. How can this be? He wasnt bleeding after the resurrection. This is because He enters into the heavenly sanctuary to mediate the covenant of His body and blood by eternally offering it to the Father. This offering is made present to us in the same manner as Melchizedeks offering, under the appearance of bread and wine.
Heb. 9:14 - the blood of Christ offered in heaven purifies (present tense) our consciences from dead works to serve the living God. Christ's offering is ongoing.
Heb. 9:22 blood is indeed required for the remission of sin. Jesus' blood was shed once, but it is continually offered to the Father. This is why Jesus takes His blood, which was shed once and for all, into heaven. Heb. 9:12.
Heb. 9:23 Jesus sacrifice, which is presented eternally to the Father in heaven, is described as sacrifices (in the plural) in the context of its re-presentation on earth (the author first writes about the earthly sacrifices of animals, and then the earthly offerings of Jesus Christs eternal sacrifice).
Heb. 9:26 Jesus once and for all appearance into heaven to put away sin by the sacrifice of Himself shows that Jesus presence in heaven and His sacrifice are inseparable. This also shows that once for all, which refers to Jesus appearance in heaven, means perpetual (it does not, and cannot mean, over and done with because Jesus is in heaven for eternity). Once for all also refers to Jesus suffering and death (Heb. 7:27; 9:12,26;10:10-14). But once for all never refers to Jesus sacrifice, which is eternally presented to the Father. This sacrifice is the Mal. 1:11 pure offering made present in every place from the rising of the sun to its setting in the Eucharist offered in the same manner as the Melchizedek offering.
Heb. 10:19 - we have confidence to enter the sanctuary by the blood of Jesus on earth in the Eucharistic liturgy, which is the heavenly sanctuary where Jesus offering is presented to God in Heb. 8:2.
Heb. 10:22 - our hearts and bodies are (not were) washed clean by the action of Jesus' perpetual priesthood in heaven.
Heb. 13:10 the author writes that we have an altar from which those who serve the tent have no right to eat. This altar is the heavenly altar at which Jesus presides as Priest before the Father, eternally offering His body and blood on our behalf. See. Mal. 1:7,12; Lev. 24:7; Ez. 41:22; 44:16; Rev. 5:6; 6:9; 9:13; 11:1; 16:7.
Heb. 13:20-21 - Jesus died once, but His blood of the eternal covenant is eternally offered to equip us (present tense) with everything good that we may do God's will.
Heb. 13:8 - this is because Jesus Christ is the same yesterday and today and forever. While His suffering was temporal (because bodily pain is temporal), Jesus and His sacrifice are eternal (because redemption, salvation, and the mediation of the New covenant are eternal).
Heb. 13:15 the letter concludes with an instruction to continually offer up, through Christ, a sacrifice of praise to God. The phrase sacrifice of praise refers to the toda animal sacrifices that had to be consumed. See, for example, Lev. 7:12-15; 22:29-30.