I wonder if the do dream? Thats a good question... I would think that watching my cat and dog sleep and seeing them dream that fish would dream too but thats just a guess.
I freaked out the first time I noticed the fish in my tank sleeping, it was my first tank of guppies a couple years ago, I woke up getting ready for work and turned on the tank light and the fish were all at the bottom and laying on the gravel. I freaked out thinking they were all going to die! Then by the time I got ready for work they were all swiming around and okay, by then I had figured out they were asleep...
My grandmother was the funniest of them all, My mom takes care of her and they keep bettas at her house, my grandmother is bad for getting up at 3am and wondering around the house, she turned on one of the tank lights to look at a
betta and saw it layingin the plant in the tank and almost got it out and flushed the poor fish. She waited until morning and luckily my stepdad explained to her they slept in the tank.