Kon is a clone of Kal-El and Lex Luthor. He also answers to Superman and Conner Kent.
In brief, Kal-El died, CADMUS Labs cloned a replacement. Kon escaped before he was through growing, lived in Hawaii for a while, joined Young Justice, moved to Smallville, joined the Teen Titans, sacrificed his life to save the multiverse, was brought back to life in the 30th century, came back to the present. This is all canon and can be found in more detail here.
When Kal-El retired to lead the high council of New Krypton, Kon stepped up as Superman. He is a member of the Justice League.
Kon is very generous and courageous to the point of stupidity at times. He has a hero complex (of course). He also is a little possessive of the people he loves and fiercely protective of his friends. And he can be very, very stubborn.
Kon has the full set of Kryptonian powers. (Except Superbreath, and if he does have it, he's not admitting it because it's stupid.) That means invulnerability, superstrength, superspeed, heat vision, telescopic vision, x-ray vision, superhearing, and his favorite, flight. In addition, he has tactile telekinesis. He can manipulate anything he's touching through a sort of aura that he controls. It is also extremely handy in sexual situations.
Kon has been married to Wanda Maximoff for [years].
He views Martha Kent almost as a mother, though he refers to her as his aunt.
Although Kal-El and Lex Luthor both gave him their genes, he does not view them as parents. He and Kal get along better now, though he is still somewhat terrified of Lois Lane.
Kara Zor-El is his cousin.
Bart Allen and Tim Drake are his best friends.
Elora Kon-El is his daughter.
Kon works at Starrware Industries under his alternate universe cousin, Karen "Kara Zor-L" Starr.
Kon can be found on Livejournal @ ihavettk
Kon's PB is Matt Dallas.