(All citations are from the KJV.)
Jesus is not God.
Matthew 3:17 – God says of Jesus, "This is my beloved Son in whom I am well pleased."
John 5:30 – Jesus says, "because I seek not mine own will, but the will of the Father which hath sent me." Also John 14:28, "I go unto the Father: for my Father is greater than I." These are just a few of the many scripture citations that show Jesus is not God, but God's son.
However, God (the Father) so loved the world (of mankind) that he gave (sacrificed) His only begotten Son to bring salvation to the world. This brings us to the second part of the question:
Was Jesus a "normal" person?
Jesus in his prehuman existence was a spirit being who dwelt with the Father and other angelic beings. (Proverbs 8:22-30). In order to become the redeemer of the human race, he experienced a change of nature. John 1:14, "The Word was made flesh, and dwelt among us." In Hebrews 2:8-9, the writer quotes Psalms 8:4-8 describing man as being made "a little lower than angels." Hebrews 2:9 tells us that Jesus took on the same (human) nature so that he could "taste death for every man." Jesus had to be a corresponding being to the first man (the perfect man Adam) who brought sin into the world. Justice required a perfect man (Jesus) to accept the death penalty for another perfect man (Adam). Therefore Jesus had to be made a perfect a human being — no more, no less. Hebrews 2:17, "for it behooved him to be made like unto his brethren."
Was he "normal"? Compared to fallen humanity, no. All people are descendants of Father Adam, and therefore contaminated with inherited sin. "By one man's disobedience many were made sinners," Romans 5:19. But Jesus had God for his father; therefore, he did not come under the condemnation brought upon mankind by Adam. He was "holy, harmless, undefiled, separate from sinners," Hebrews 7:26.