A recent press release announced:
“Proceedings of the Supreme Court . . . can now be watched live over the internet, in a significant development for the transparency and accessibility of the highest court in the land.”
“[Now] legal professionals, students and members of the public interested in the work of the Supreme Court do not have to travel . . . to see proceedings.”
Amazed? Okay, the ellipses replace “of the United Kingdom” and “to London,” but still, especially to an American, it is pretty big news. Live streaming of the UK Supreme Court’s hearings and judgments began on May 16, via Sky News.
According to the press notice, the Sky News site provides links to the Supreme Court’s case summaries for those being webcast. Check the Court’s Sittings Page to plan your UKSC viewing, being mindful of the 5 hour time difference. 
UK colleagues recommend the UKSC Blog for excellent coverage of the Court and upcoming cases.
For commentary on this development, read Max Atkinson’s Blog (“The case for banning television from courts fell apart years ago”).
On March 16, 2011, Lord Neuberger presented the Judicial Studies Board Annual Lecture, entitled “Open Justice Unbound? It makes provocative reading for citizens of this New World nation.
A tip of the tricorne to The BIALL Blog.