If you are asking specifically about whether college name matters, it is generally considered not that important compared to other factors in medical school admissions, as long as the college is a reasonably reputable 4-year school (i.e. not a community college or a disreputable one like some of the for-profit colleges). Students who took pre-med courses at community colleges may be expected by medical schools to take upper level courses in those subjects at a 4-year school to confirm their academic strength in those subjects.