You’d be in two different locations, have independent experiences, and your world lines would quickly diverge. Both of you would remember a common past.

How do you know when you wake up in the morning that you are the same “I” as you remember from the previous day? Who isn’t to say that the universe didn’t multiply while you were asleep, and now there are two or more of you waking up?

(You don’t actually need to go to sleep to do this: https://cheapuniverses.com/)