To put Hulu Desktop into full-screen mode you'll have to hit Ctrl-F or click the maximize button on the app's window-there's no way to put it into full-screen with just the remote. You can also use your mouse and keyboard, of course, but this sort of defeats the purpose of the app. And you skip or seek through videos with the left and right arrows, not Rewind or Fast Forward.
For instance, you press the OK button to play a video rather than the remote's actual Play button. The controls for the Apple remote are straightforward, but Windows users will need to make a few mental adjustments. You can download and install Hulu Desktop on both Windows and Mac systems.