I actually went to Brown University which is an Ivy League School. Most of the colleges will post recommended GPAs or average GPAs. However I think that there are many things that are weighed along with the GPA, including standardized scores, essays, and other extracurricular activities.
I would also recommend in trying to find a school that meets your needs and go from there. The Ivy League has a diverse range of schools (big, small, cities, rural), I would focus on finding what you want to go to college to do. If you don't know that is okay, pick a school that meets your other needs (size, geography, etc.)
Let me know if you have any questions.