All of the Disney resorts have High Speed Internet Access:
Price: $9.95 for 24 contiguous hours charged to the room account.
Technical support is available 24 hours a day, 7 days a week
Requirements: A Local Area Network (LAN) cable or in-room connection.
My brother used his laptop quite a bit from his room in February of this year. He said the speed was good and he had no problems. I always bring my Blackberry and try to avoid bringing my laptop on vacation.