Laport usually does a live show and they are usually piping in audio or video feeds as they are available. http://live.twit.tv/
During the iPad event, Leo was in the audience live streaming the event with the MacBook camera pointed at himself, but during the part where Steve announced the price for the iPad, he turned the camera towards the stage.
Although he was never told he couldn't live stream the event, Leo talks on his show about how Steve looked over a few times and didn't seem happy to be looking at himself on Leo's Laptop. So even though Leo will be at WWDC and they will be covering he event on the link you provided ^^, I haven't heard him say if he will actually be streaming this event (its never good to be on Steve Jobs bad side, Gizmodo).
Leo Talking about the iPad event and the live stream he did.
http://www.youtube.com/watch?v=igwL9HmyeUs