It might work differently where you live, but we get one hour free internet usage at the library each time we want access. I had to pay $1 per hour at a library some years ago, but that was in a different state.

I don't know if you can only have one hour, or whether you're restricted to once daily, but I did go in most days when my own computer was down. I'd always phone before I went in though, and book "my hour".

May I suggest that you either phone them, or else check their website to see what options you have available.