Logmein is a service that allows you to control a Computer (Windows/Mac) from another device. It works the same as Remote Desktop in Windows but over the internet via either the Logmein Client (for iPad) or the Logmein Website. Think of this as the free version of GoToMyPC. I have been using LogMeIn for years now, but not for media and have had great success. I have not, however, gotten the iPad version as I dont see the point of spending that much on something I rarely use anymore, thanks to the iPad itself.
If you are connecting to a PC or Mac via the iPad then it will play the Flash on the computer you are connecting to - it will be slow and choppy.