Of course God is a person. He even has a personality. We talk to Him, not some animal. He was born in the flesh that makes him a person and just because he died and resurrected from the dead, doesn't make him less of a person. He showed the disciples that it was He who had risen from the dead. He even showed himself for a few days before he ascended into heaven to go back to His Father in Heaven after his mission was accomplished here on earth.
He asked Thomas to see the nail prints in his hands and feet and later he ascended into heaven in his new spiritual body just as we do, when we die. He was showing us what happens to us upon death, that we live on in our new spiritual body. Will we stop being a person just because we die? No! Jesus promised that we would be resurrected just as he was. Our spirit lives on.
The personhood of all three persons of the Godhead is affirmed in the Bible. God the Father has a mind (Isaiah 55:8–9), will (1 Thessalonians 5:18;Ephesians 5:15–17), and emotions (Psalm 103:13). Jesus, the Son of God, has a mind (Luke 2:52), will (Luke 22:42), and emotions (John 11:35). The Holy Spirit also has a mind (Romans 8:27), will (Romans 8:5), and emotions (Ephesians 4:30). He is love personified. And when we receive His Holy Spirit, we too, share the the same Spirit of love.
The Father, Son, and Holy Spirit work together to accomplish God's purposes and plans (Hebrews 9:14). Not only is God a person, He exists as three persons in One.