It can depend on the person. I do, but I know people that sometimes dream in black and white. I was reading some data on this and it is pretty interesting. One site mentioned 12% of sighted people dream in black and white. Personally I never have. There was also some discussion on whether those who grew up with black and white TV and movies dream more in B&W than in color. Do you dream in color?
I don't remember actually dreaming any color. But the events that take place I do.. NOT all. But the important memorable one's Color? Yes. I mean I saw black and white. Sometimes I dream in an old 70's type colors so? It depends on the dreamer.