So, what is it like to be put to sleep with general anethesia?

Drifting off. Then you forget everything. It is like a deep dreamless sleep.
Very Few Know. With modern anesthetics we try and shut down the memory of the patient before they go to the or. Once they can't remember what happened, it is very hard to find out what they felt as they went to sleep. Without sedatives the very medication that is used to put people to sleep blocks memory formation, so we have the same problem. Same with waking up. Patients come to in the pacu after the op.
Relaxing. It is usually a calm experience, gradual onset of sleepiness, relaxing. One usually awakens feeling rested.