Got severance, how does it affect benefits? (Milwaukee)

My employer is paying severance in instalments and I am not sure whether to file now. This is my first time dealing with any of this. I also wonder about the job-search requirement. Who should I ask before signing?

Thanks for writing this out. I went through something close to it last year, and it settled down once I kept a simple log of every call and form.

Some states only count certain kinds of severance. A local workforce centre could tell me which.