If you arrive at 6:00 am (assuming your flight is on time), you have to work your way through the airport, maybe stop to use the bathroom, maybe get your checked luggage, maybe wait for transportation, then ride/drive to the resort. So it's not like you're getting to the resort at 6:00 am. And if's going to be a park day where you want to take advantage of early hours, you can leave your bags with Bell Services and go to the park. So depending on when the park opens, you might not be hanging out that long.
If you need to hang out at the hotel, every Disney hotel I've stayed at has a lobby area where you can hang out; some have other rooms as well. And of course there are outside areas also, depending on the weather.
Which resort are you thinking of?