Glad you linked it. Since that site uses Flash and requires a flash-based login, it'll be a bit more complex. You could go about it a couple different ways. Maybe try using a video screen recording program to record your own interactions with the website, save that as a video on the DVD so you could at least go back and re-watch yourself using the website. Or just take screenshots of the various pages and save them as JPEG files.
Otherwise I don't have a great suggestion.