Courts Martials are not generally reported in the law reports unless they reach the Courts Martial Appeals Court. There have been one or two interesting cases over the last few years, including some which went to the European Court of Human Rights. These were mainly on the basis that the courts Martial system did not represent an independant and impartial tribunal because of the way the members of the Court were appointed. Since then I believe the system has changed significantly.
They are public courts, so you a free to sit in if you wish.
Contact Gilbert Blades, who is one of the countries leading advocates before Courts Martial. This is a link to his profile on his firm's web site:
http://www.wilkinchapman.com/html/personnel.asp?ID=3
The system is 'run' by the Judge Advocate General, who is the independant legal president of the Court and who makes rulings on points of law. I haven't been able to find a web site: Most search results bring up references to the US army Judge Advocate, who is a prosecutor and quite different.