No, it is not a Disney song, but it is played at the beginning of the Great Movie Ride. I think Warner Bros Records holds the rights to it. Then again, it may be so old that it falls under free use.
Personally, I think this is a great change from the generic tunes of the past, and this, with the new paint jobs, make the entrance area feel much more lively. I've also noticed that at the back of the park in the San Fran/Amity and New York areas that the background music there has changed. Instead of playing oldies, each area has music relevant to the theme (the sole exception being Amity, which plays more recent hits with it's collection of tunes).
Just one more change for the better in a long list of changes at Universal.