Melaine,
We have stayed at the Holiday Inn Sunspree several times because its a pet friendly hotel. I know their website states that its less than a mile to Disney property and thats pretty accurate. We found the easiest way was to take 535 to the Disney entrance at Hotel Plaza Blvd. It would not take more than a few minutes to get to that intersection. The toughest part of the drive, is getting in and out of the driveway of the hotel.
Enjoy your trip.
Lizzie