I rarely dream (in the sense that I think most people mean) or, if I do, I don't remember them ... not since I was a kid. I do still remember a couple I had back then, which may explain why I've avoided them since. (I'm not a cat person, and those childhood nightmares may have something to do with that.)
I do day-dream, or waking-dream, quite a lot. Often quite vividly. That seems quite strange to me since it seems to suggest a level of conscious involvement that I'm not always aware of.