1099 G state refund

I never dealt with 1099 G fprm. Yes I am married filing jointly. If we receive one do we add it to our tax return or is it necessary? I looked on line but says we don't have to but wanted to ask a expert first.

I received a 1099 G and it has both of our names attached to it. Do we add it to both of our take return or just one of ours?