For myself, I usually have a single dream, and often the dream mixes with the real world events happening around me as I come to, but then suddenly I am thrown into the confusion of the real world. It generally feels quite nice, just like sleeping. The "coming out" stage is often a little disturbing as your brain begins waking up, trying to solidify an understanding, even though it is working with half its resources. Sometimes however, the brain doesn't attempt to do this and I find it very enjoyable to experience the drift through unorthodox realities, waiting for the inevitable stabilization. During this phase I am usually vibrating like I have my finger in the electricity outlet (mildly however), and have a certain amount of time where I realize that this is happening to me, and I have no control over it. I usually am not aware of why this is happening to me until it is over.
I even had one where the dream was of events that happened 10min later, even though I did not find out until somebody told me 20min later.