What should I do? Can I get unemployment?

My boss pulled me into the office Thursday to discuss my position as well as if there standards were being met. We talked for an hour at least. I realized in this time I needed to tell him that I have clinical depression. I started working there right after I was diagnosed about 5-6 months ago. On Friday the next day,my boss text me and asked if I would come in to discuss our plans moving forward. I went in and he told me "based on recent conversations we have decided to replace you in your position." They stated I couldn't handle it and they were adding on more responsibility. From the beginning they have limited my hours at the office. I am on call 7 days a week from 9-9. I only get paid 30 minutes per call which could be anywhere from 30 to 1.5 hours of work. They said I could have Monday and Tuesday as my last days if I wanted to. That I could also work special events which doesn't have anything going on in town so I would have to travel with out getting paid to travel to work. Can I get benefits until I find another job?