My experience (went to a small liberal school that nobody recruits at) is that it makes things easier for your first job, but doesn't matter at all after that. Even then, grads from my college end up at Google/Apple/Facebook pretty regularly.
This is at all relevant only for getting into the interview process, which is something that is largely handled by recruiting. Once a candidate makes it to a phone screen with someone like me, where they went to school has no bearing on whether they move forward in the process.