At least based on the forums here, a school's name even on the undergrad level seems to matter a lot... more than it should.
Like on the thread discussing Berkeley vs Cornell, or AKA Haas vs Cornell, many people were saying Cornell simply due to its ivy league name. But on that note on sites like College Confidential, there's many people saying Cornell's ivy name doesn't matter since it accepts many more students than other ivies, and is also the lowest "ranked" ivyschool. Also Cornell's location in Ithaca isn't ideal for internships and whatnot.
This being said, does a school's name matter significantly AS LONG AS you come from a target undergrad school (like UPenn, Cornell, Stern, Ross, Haas).