No any normal monitor should be fine the high definition part of the hd4000 series is actually just a name, there is no such thing as a specific hd graphics card, only hd material and displays. Well, there are computers which are too slow to display hd content, but you will be fine, especially with a 4830, just remember to install latest drivers.
haha, I see you have an emachine at the moment, good luck using that, it should play hd content too. Weren’t you the one asking about a 4830 supporting powersupply and if CD/DVD drives are compatible?