The Red Devils endured a disastrous 2013-14 campaign under David Moyes, finishing seventh in the top flight, but Kluivert insists merely ensuring Champions League qualification will not satisfy Van Gaal.
United have signed Ander Herrera and Luke Shaw already this summer and have been linked with a move for Juventus star Arturo Vidal as they look to rebuild their squad.
"He's absolutely going for the Premier League title," Kluivert told talkSPORT. "A club like Manchester United always has to go for the title and that's what he wants in his first year.
"He's a great coach and I know he's looking forward to taking over at Manchester United. It will be a difficult year but I know he can do it. He can work well with the squad.
"Van Gaal is a great tactician and he wants to win matches. He likes to play offensive and attractive football as well though. He won't disappoint the Manchester United fans."
Kluivert holds out hope of joining Van Gaal's coaching staff at United in the future but insisted he understood the 62-year-old's decision not to offer him a job now.
"I talked with Van Gaal and he said he would have loved to have given me the opportunity at Manchester United, but there was somebody already in my position," he said.
"I'm fine with it. I would have loved to come to Manchester United. I hope it can happen in the future, you never know."