Not really - just more knowledgeable and committed. I am studying Medicine right now in one of the best universities in Australia and I already have a Master's Degree in Molecular Biology. But when I seriously think to myself "Am I intelligent?", I do feel doubt. I got mostly B's in High school. I've never "coasted" through a course - I had to work, and work pretty hard to do well. I'm not an idiot, but when I talk to every day people, I find myself not being in a different category to them. I know more than they do, because I've had 12 years of High school and going on 6 years of university and biological sciences coursework, which mostly involved me reading, memorizing and thinking about stuff presented to me on a screen or in a book. I didn't discover all that info - merely learning it doesn't make one as intelligent as the ones who discovered it.
I would say that I am average - maybe a smidgen better at memorizing and extracting information from text than the average person. But am I a genius? No sir, I am not. I've just had more years of learning and the desire to learn. I am fully convinced that most people could get a science degree, if they wanted to. I don't think holding a degree in a field of science makes me any better than anyone else - it's just a reflection of my interests: I was interested in science, I was willing to work hard, and I got that degree. But I'm fairly confident that most people could do what I did, provided they wanted it badly enough. Most people don't have science degrees - but that's not because they are less intelligent - it's because they have other interests and spend their time differently or have not had the same opportunities as I have had.
I am pretty damn confident that I am at least average. At the very least, my Master's degree proves, to me at least, that I'm not an idiot (which is a constant fear that lurks at the back of my mind). Am I more intelligent than most people? I wouldn't say so.