They link to their paper there, but the link is to a journal with a paywall. Here's a free copy of their paper: http://arxiv.org/abs/1107.4438
"Moreover, anyone who downloaded live random numbers from the ANU website will get a fresh and unique sequence of numbers that is different from all other users." - that doesn't sound very random..
Although it's not clear from the article it appears to be not so much listening to vacuum noise as reading how the known resonant frequencies are being damped by quantum fluctuations.