There was the Divine Nature of Jesus hypostatically united with His human nature. The totally united Person, Jesus, told His disciples that only the Father “Knows” the time and details of the end of the world. Jesus’ unfolding of His human experience of His divinity occurred gradually, therefore, as a fully human child, just like us in all things, except that He never sinned, He had to be subject to His mother, even in learning to speak, read and study from her. Therefore the Torah with which He astonished the Temple Elders when He was lost as a 12 year old, He learned from His mother.
No.
As God preexisting before incarnation, integrated with flesh, one of His attributes was (and still is and always will be) omniscience.
He was fully aware of all Torah in the womb. That was demonstrated in the first Christmas carol sung by Him at His Birth, in which He by targum explained the meaning of Psalm 40, verses 6,7, and 8 as recounted by the Holy Ghost in the New Testament:
Hebrews 10:5-9a (AV; bolding for emphasis and supreerscripted annotation added):He was entirely sentient at birth, and able to express himself, and through it, I believe, able to confirm His Divine identity to His host mother Mary and earthly father Joseph.
5Wherefore when he comethεισερχομενος=He arrived into the world, he saith, Sacrifice and offering thou wouldest not, but a body hast thou prepared me: 6In burnt offerings and sacrifices for sin thou hast had no pleasure. 7Then said I, Lo, I come (in the volume of the book it is written of me,) to do thy will, O God. 8Above when he said, Sacrifice and offering and burnt offerings and offering for sin thou wouldest not, neither hadst pleasure therein; which are offered by the law; 9aThen said he, Lo, I come to do thy will, O God.
Eh, I bet He had long talks with Abba too.