There used to be live web cams on the WDW website, but they took them down a couple of years ago. They kept saying that they were going to put them back up, but nothing has happened with this in quite a while.
This is the only webcam I could find on the spur of the moment. It's from a site called Weatherbug. I think they have strategically placed webcams at different locations around the country. It'll give you an idea of what kind of day it is down there, but nothing more.