What do they look like?
Jesus said no human has seen or spoke to God the Father at any time (John 1:17 - 18, 5:37, 6:46, etc.). The Bible, however, does give us at least some clues regarding certain attributes and traits such as what He (or they) look like. For example, we know that what the two Beings in the Godhead looked like were used as a pattern in the creation of man (Genesis 1:26). They used themselves as the master template from which man's appearance came into existence.
Scripture tells us that God possesses a body composed of spirit (Daniel 7:9 - 14, 10:5 - 19, 1Corinthians 15:44, Philippians 3:21), which has a shape (John 5:37) and form (Philippians 2:5 - 7, 3:21). The Beings in the Godhead have a head (Revelation 19:12, 1:14, Jeremiah 19:5, 32:35) which has a face (Deuteronomy 34:10, Genesis 33:10), hair (Daniel 7:9, Revelation 1:14), eyes (Revelation 1:14, Psalm 11:4, 18:24), ears (Psalm 18:6, 34:15), mouth (Numbers 12:8, Isaiah 1:20), lips (Isaiah 11:4, 30:27) and a tongue (Isaiah 30:27). They also possess arms (Psalm 44:3, John 12: 38) which have hands (Psalm 102:25 - 26, Hebrews 1:10) and fingers (Exodus 31:18, Psalm 8:3 - 6). They have loins (Ezekiel 1:26 - 28, 8:1 - 4), feet (Psalm 18:9, Ezekiel 1:26, 1Corinthians 15:27) and even back parts (Exodus 33:23)! They also share, like the angels, the trait of being sexless.
Moral qualities of divinity
What are some of the character attributes that distinguishes the existence of God? Both Beings are holy, good and perfect (Deuteronomy 32:4, Psalm 18:30, Matthew 5:25, 48, Romans 2:4). They are always faithful (1Corinthians 10:13, 2Corinthians 1:20, Hebrews 6:18), long suffering (Exodus 34:6 - 7), perfectly impartial (1Peter 1:17) and merciful (Lamentations 3:22, Romans 11:32, James 5:11). They both are a living definition of love and truth (John 3:16, 17:3, Romans 15:30, 1John 4:8, 5:20) and the very essence of life (Jeremiah 10:10, Hebrews 7:16, Revelation 11:11). Their perfect character has existed forever and will always exist for all eternity (Hebrews 13:8).
The traits of deity
What can God do and what does He possess that no other living being can do or have (unless He gives them the ability)? The Godhead is all powerful (Job 42:2, Matthew 28:18, Revelation 19:6) and eternal (Psalm 90:2, Isaiah 57:15, 1Timothy 1:17) with a self-sustaining existence (Exodus 3:14, 6:3, John 1:4, 5:26). They can know anything or be anywhere at any time (Romans 11:33, Psalm 139, Proverbs 24:12). Both God the Father and Jesus Christ can know the thoughts and intentions of anyone (Hebrews 4:12) and can be invisible for as long as they choose (Colossians 1:15).
Did you know . . . ?
What are some little known but AMAZING things that God alone possesses the ability to do or NOT DO? He can choose NOT to know something the moment it occurs (Genesis 3:8 - 9, 11 - 13, 18:1 - 3, 16 - 17, 22:12). The Godhead can also decide to NOT determine what someone will choose (Genesis 22:12) and can change their stated plans based on what humans do (Genesis 6:1 - 6, 18:23 - 33, Jonah 3:10, Isaiah 1:18). In fact, in certain circumstances, He is willing to NEGOTIATE what he will do (Genesis 18:17 - 33)!
Both God and Christ have chosen to never lie (Hebrews 6:17 - 18) and never change their character (Malachi 3:6, James 1:17). Perhaps one of the most remarkable attributes of the Godhead is that there will come a time when they will choose, from the moment of their choice for all eternity, to NEVER remember ANY of our sins (Isaiah 43:25, Hebrews 8:12, 10:17)!