Severance and unemployment, do they overlap?

I was offered severance of 6 weeks after being let go as a barista and I am unsure how it affects benefits. There are 6 people counting on me, so I am trying to be careful. I have a mortgage and need to plan. Did you file straight away?

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