Those who are made immortal at the return of Jesus will be given a body like that of Jesus:
The Lord Jesus Christ, who, by the power that enables him to bring everything under his control, will transform our lowly bodies so that they will be like his glorious body. (Philippians 3:20-21 NIV)
We know that after he was raised to new life and immortality, he could still eat (John 21:12-13) and he had a physical body that still had the marks of his crucifixion (John 20:27). On the other hand, he could appear and disappear at will (Luke 24:31,36) and he could walk through locked doors (John 20:26).
Jesus is the “firstfruits of those who have fallen asleep” (1 Corinthians 15:20); that is, he was the first to be raised from death to immortal life and others will follow. So we can expect to have the same bodily characteristics as he does.