Hinata is part of the family branch of the Hyuuga clan, and is the daughter of Hyuuga Hiashi, Neji's uncle. She is very shy towards people and has a very low self esteem. She has a huge crush on Naruto in the anime and is pretty much always secretly encouraging him through his trials when she witnesses him.
Over time, due to Hinata's fairly slow training progress, her father gave up from her and decided to focus on his other daughter Hanabi instead, who proved to be a lot more promising. Hiashi's completely lost interest in Hinata by the time she joins Team 8, with Yuuhi Kurenai as the leader and Inuzuka Kiba and Aburame Shino as teammates.
Hinata also seems to not really want to be a ninja at all but she goes along and is very obedient to people. She would seem better off doing home type of activities than fighting and in time the show may put her in a more of a 'house wife' position.