Stanford is among the most generous schools extant – but also the most difficult to be accepted. But know that if accepted, you’ll be expected to contribute with summer savings as well as work-study. If accepted, you’d receive a generous, need-based package from Stanford.
Are you a US citizen or permanent resident? Perhaps not? If not, then know that international applicants face worse odds than everyone else. When you’re talking about less than 5%… well.
Why are you asking about Stanford and Ivies? YOu should be looking at a broad range of schools, not ones where even the most gifted have terrible odds of admittance.
Try the supermatch tool on the left panel of this page.