I misread that as "the first time I dreamt...".

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 :)