Retirement tax questions

I did some frantic digging around the house and manage to find my 1099-G form! But, I'm about 73% sure I payed what I needed back for it already. My main source of concern now is where so I find out this information because, well, obviously a piece of paper wouldn't update if I did pay it,, Would this information only be on the unemployment site or would I have gotten something for it in the mail?

 

Your answer is very informative and helpful! Unfortunately (or fortunately?), I forgot to file my taxes this year so I don't think I need to amend mt 2020 yet.

 

Thank you for the reply!