One of the big problems with the legal system is how inefficient and time consuming it is. We live in a world where just threatening legal action can put a big question mark over someone's financial future. To do anything, you need to pay for the services of expensive lawyers and paralegals. So this naturally puts the wealthy, big corporations and big government agencies at an advantage.
You can see how inefficient the judicial system is just by looking at how much paper they produce. They literally have to wheel boxes of documents into court with carts. Armies of paralegals have to manually sift through the documents by hand. It's really one of the most conservative and backwards industries out there.
The most obvious way that technology can help is by increasing efficiency and leveling the playing field. The ideas are not new (e.g. http://www.amazon.com/dp/01995...) and I think eventually law firms and courts will learn to leverage technology and make their services more accessible. Making information more accessible will also help shoot down abusers of the legal system (e.g. in invaliding bad patents - http://www.joelonsoftware.com/...).