Now you can! Check out the SCOTUS Notes crowdsourcing project sponsored by the University of Minnesota:
In this project, members of the public transcribe handwritten notes from U.S. Supreme Court justices. Unlike members of Congress, justices cast their votes in complete privacy during weekly conference meetings. Only justices are allowed in the Chief Justice’s conference room when they discuss, deliberate, and make initial decisions on cases that focus on some of the nation’s most pressing legal issues. The only record of what has been said, and by whom, is provided by the handwritten personal notes the justices themselves take during conference. These crucial documents detail the discussions and debates that took place in thousands of cases spanning multiple decades.