I had a cholecystectomy a couple of years ago and I was very frightened of the anaesthetic - but only because I was very frightened of feeling or being sick! I wasn't sick after - I felt pretty rubbish but I believe that was a reaction to cyclazine, one of the many anti-emetics I begged them to give me.
The process itself is a bit odd as an adult, I had a couple as a child and only recall an early injection that makes you drowsy then they sort of whisk you through and you blink and wake up again. But as an adult I didn't like the idea of being drowsy or woozy beforehand, so I didn't have the pre-op sedative (you can choose not to). They are very calm and reassuring and talk you through everything, and although nobody got me to count backwards, the anaesthetist put a mask over my nose and mouth, peered over the top of it at me and said cheerfully, "See you in a little while!"
I didn't much like the chemical smell of the gas - sort of strongly medicinal - but did as I was told and took a big lungful of it. The first sensation is slightly blurry vision, and then its like a shutter going over your eyes from one side to the other, and although instinct made me want to fight it I just let myself fall asleep.
Waking up is just like waking from a nice sleep - I was rather irritable at being woken and then bombarded with questions so I was a bit stroppy, and couldn't understand why the nearby nurses sounded so amused. I had apparently been somewhat outrageous upon first waking, although they never told me what I said...
Honestly OP I'm the biggest wimp - I reacted badly to one of the drugs and felt horrible for 12 hours (only in the sense that I could hardly move and couldn't wake up properly while everyone else was having tea and biscuits and going home), but if I can survive it anyone can!