There is a live webcast here, provided by the Senate Judiciary Committee. Click on the blinking webcast button. It's appears to be in real-time while my cable is a sentence or two delayed.
Also, the Supreme Court is live-blogging this event here. There are a number of links that you may find useful that are being added as they live blog it, such as the prepared statements of the senators who are speaking now at the opening. They are also making intersting statements such as at 10:40 Tom Goldstein wrote : Proportion of reporters in the room doing something other than listening to the statements: 66%.
Transcripts of past Senate Judiciary hearings on Supreme Court nomination hearings through 1971 are available through the GPO web site: