Well two things to answer your question. I have good reader and its awesome and yes you can upload videos. If you want to say upload a video, you can do it via the user file sharing. You connect to ituness, scroll to the apps page of your ipad, scroll down, and goodreader appears. YOu can then select browse to upload a file.
YOu can also find the ip address of goodreader to upload. YOu press the wifi button, then locate the ip address on the finder bar. Then you can upload!
Love good reader. YOu can set passwords on folder for things you don't want other people to see! 😀 Hope that helps and its worth every penny x ten.
The good thing about this is you can just upload the video and not have to copy it into itunes.