Job offer

I recently was given a job offer as a new grad in a SNF. The hiring manager called me to follow up after my interview. She asked what pay rate I was looking for. I was caught a little off guard so I said I’d like to at least start at 37 an hour. She then proceeded to offer me the position for 37 per hour. That comes out to almost 77K a year. It is a full time position so I will get benefits and I get 20 days of PTO no matter what (time does not have to be accrued). I was just wondering if this would be a fair pay for a new grad or if I messed up and asked for too little. I’m in Michigan for reference. Thank you in advance.