The indications in the Bible are that of all God's physical creation, only man is destined to live again in the Kingdom of God. Only man was made in God's image (Genesis 1:26) and given a mind for the purpose of developing righteous character, which will fit him for eternal life. The purpose of human life and the awesome destiny of man set humanity apart from other living creatures.
Nowhere does the Bible indicate that animals have any hope of life beyond the grave. Like all physical creatures, including man, animals go to their graves when they die (Ecclesiastes 3:19-20). But, for man, there is a resurrection from the dead (John 5:28-29; I Corinthians 15:21-22). No such promise is given specifically for beasts, although God's law does contemplate treating them humanely (Exodus 23:5, 12; Deuteronomy 25:4; Proverbs 12:10).