When I wake from sleeping, I have a distinct sense of time passing and can usually tell you what time it is when I first wake up. But under anesthesia, absolutely no sense of any time passing at all.
I’m open to correction but my understanding is everyone dreams when they have REM sleep and everyone has some REM sleep every night unless there are rare medical conditions which would be unhealthy if there is a long period of no REM sleep.
People who believe they never dream (including myself before I learned this) simply don’t remember it. If you were woken artificially during REM you might remember fragments.
Perhaps memory and consciousness are closely related or even the same process, as there is no way to tell them apart from the inside.
Anyway yes, as I understand it this should be the last time you _remember_ having dreamt. https://en.wikipedia.org/wiki/Rapid_eye_movement_sleep says we hit REM multiple times per night normally.
... Also this Wikipedia says we have non-REM dreams. This whole article is interesting, thank you for indirectly prompting me to read up a bit :)