It's actually called a 'resort fee' and everyone has the privilege of paying for it whether or not they use the services! A good deal, however, for people who would have paid for internet fees.
Yes all room have internet access. When we were there in 2005, an ethernet cable was provided in each room. I believe the great hearth has wifi access too.
We just returned from 7 nights at GCH and there was internet access offered in all rooms and public areas of the hotel as part of the resort fee that is added to your bill. Please note that there was both wireless and wired access. For those without a wireless card there was an adapter in the room that included an ethernet cable.
The service wasn't the fastest but it was good for what I needed when checking in to work from time to time.