Question: does damon die from the werewolf bite in season 2

Answer: No, In the meantime, Elena finds Damon wandering and tries to help him but he bites her thinking that she is Katherine. He stops in time before he kills her and Elena takes him back to the Salvatore house. Damon admits that he loves her and Elena kisses him when Katherine arrives with Klaus' blood. Damon drinks it and gets healed while Katherine informs them that Stefan sacrificed everything to save his brother and he will leave town with Klaus.