This guide will lead you to the best information resources on the US Supreme Court.
Image source: Wikimedia Commons, CC-BY-SA-3.0
It was developed for Dr. Benesch's LAW classes.
Oyez provides a nice overview of US Supreme Court cases, facts of the case, a conclusion, the decision rendered, advocates, and also provides transcripts and MP3 recordings of the oral arguments. It's an excellent place to begin.
Image source: Wikimedia Commons, Fred Schilling, Public Domain.