What is each brain hemisphere responsible for?

Usually the right side of the brain is associated with creativity, visual things, and art-ish stuff, and the left with you're inner Spock, plus language. Everyone is a mixture of left and right brain, but most people have dominant limbs or hands or ways of learning that are characteristics of the side of your brain that's dominant. It's not really always that simple, though: nothing is entirely isolated on one side of the brain or the other. But I think you just wanted the basis. Left side controls right side of your body and vice versa, I think.