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We're lucky that our bodies require sleep, otherwise our cultures would have us working 16-20 hour days.
(self.showerthoughts)
A "Showerthought" is a simple term used to describe the thoughts that pop into your head while you're doing everyday things like taking a shower, driving, or just daydreaming. A showerthought should offer a unique perspective on an ordinary part of life.
On the other hand, it would feel pretty normal to us.
Perhaps even our time perception would be probably a bit different. As someone coming from world where bodies require about 8-9 hours of sleep, the perception of time is naturally affected (if not dictated) by having series of waking periods of about the same length every day.
If there was no such thing as sleep (which might be a bit different than just "not requiring sleep" as you suggest) then we'd just be conscious in one continuous chunk from birth to death. Given what problems our brains solve by sleep (learning, sorting memories / feelings), if the brains were to do these things continuously, the consciousness itself would probably be at least quite a bit different experience.