Med schools care very much about ECs.
Since med school is expensive and there is little aid available except for loans, it's generally recommended that pre-meds minimize undergraduate debt. Choose the best school you can afford and get top grades wherever you end up.
There's considerable debate about how much difference in the GPAs is allowed between the Harvards and MITs vs. major state schools--the general consensus is that is there is a gimme of .1 or less in GPAs.
All the stuff you had to have for getting into college-- strong GPA, excellent test scores, ECs, leadership etc---med schools expect all those plus research and medical volunteering/shadowing.