Yes but if you're living at home you can't really claim much for expenses. Your parents will claim you on their taxes as a dependant so you can't claim yourself. In fact, if they are paying your tuition they are the ones who get to claim that on their taxes as well. Students don't get much in the way of deductions, so yes, you have to pay taxes. There is, however, a minimum amount you have to make to be liable for federal tax (its more like $6000 a year I think) with 0 dependants.
Thing is, even if you only make minimum wage you will still pay some for unemployment tax and social security tax, no matter what, and you don't get a refund on those. Welcome to the real world.