You may get it or you may not. As a renter, you are not officially entitled to free Internet, only members are. That said, sometimes renters are not identified as such and therefore get free access. I've seen a number of posts more recently where members were charged for Internet in error, requiring them to go to the front desk and show their membership card to have the charges reversed. You will not be able to do that since you are not the member.
If they charge you, it's $9.95 per 24 hours of continuous access.
There is no wireless, only wired.