Gifts of the Spirit are listed in 1 Corinthians 12. They are special abilities given to certain believers for the edifying of the body of Christ.
The fruit of the Spirit is the outworking of God’s character and nature in us as we are filled with the Spirit and yield to His leading.
I don’t see how this means we shouldn’t ask for them. They are not earned, they are given. That makes them gifts in my version of English.