I would go so far as to say anyone who brags about not using Google to look for answers (or looks down on someone who does so readily) is worse off for it. Nobody can know all the answers to every problem they will run into (this goes for any profession, not just programming) -- the first step if you don't have a quick answer yourself should be to search the internet for answers others have come up with, or at least more information.

That doesn't mean you just copy and paste whatever you find. But it means you are now more informed than you were before and can come to a better, faster solution.