This is definitely the Dark Visions trilogy (1994-1995), by L. J. Smith. It has a female protagonist who draws the future, multiple teen psychics, and a love interest named Gabriel.
Wikipedia summary of the first book (emphasis mine):
Kaitlyn Fairchild is a psychic teenager who is believed to be a witch. Her power is seeing the future. She is able to visualize her premonitions through drawings, but she often cannot interpret them until it is too late. She is offered a place by Joyce Piper, at a psychic research center known as the Zetes Institute, and after seeing a child get hurt, as foreseen by one of her premonitions, she agrees to go to the Institute with four other teenagers who have powers of their own. She quickly befriends three of the other teens, Anna Eva Whiteraven, Lewis Chao and Rob Kessler, and forms feelings for Rob; the fifth psychic, Gabriel Wolfe is aloof and reluctant to form friendships with anyone except Kaitlyn...The psychics become suspicious and begin to believe the warnings about the Institute. They investigate and find a secret passageway, which contains plans to turn them into psychic weapons to sell to major corporations, and a file about Project Black Lightning, a previous project in which other psychics were tested upon and 'terminated'...{at end of book}...Rob admits to Kaitlyn that he is in love with her, after he realized he couldn't lose her, and the five psychics escape and decide to flee from the Institute.
Kaitlyn ends up with Gabriel in the last book.
found by googling psychic gabriel book ya
