Severance and unemployment, do they overlap?

I signed a severance agreement and I am worried about how to report it. I have read a lot of threads here and could not find my exact situation. The agreement mentions a release and a payment schedule. Did you file straight away?

Keep everything in writing and save the confirmation numbers. It saved me later.

Before signing, I asked a friend who is a lawyer to look at the agreement. It was a short conversation and worth it.