So, I'm very new to all this so excuse me if this is a dumb question.

Having a crew refinish our first floor. They're using oil based duraseal poly (4 coats total planned)

First three coats went on 24 hours+ apart, fri sat and Monday--wasn't there to see the process itself.

We had to take a break before the 4th and final coat to allow some other contractors in the house.

I assume there's a final buffing/smoothing before the last coat, but I have noticed the floors are VERY rough, with a ton of tiny little bubbles that I can only see if I look very close. Definitely would not be acceptable as a final product, but I worry that there's already a rough texture after three coats of poly, which I've read is standard. Should I be concerned about the final result or am I just being paranoid?

The third coat of poly-urethane should look like a final coat. The extra finish will sometimes just make it look shinier.

Overall, I'm very happy with how they LOOK. The couple microscopic bubbles don't bother me so much, hardly noticeable unless you're sticking your head in the floor. What bothers me is the feel. It feels like sand when I rub my hand across. I'm hoping this is just something easily fixable with another buff and final coat

Scuffing with a purple pad and then coating should give a smooth floor. Hand sand the edges and corners with 180 grit. This will help with adhesion, too.