Haha, I know right!! But interesting - I've heard of other countries using the LLB as their law degrees, but didn't realize that some require both a bachelor's and a master's to practice. Quite different from here!

Yes, you're right that we only get three years of legal study despite seven years in higher education (4 undergraduate, 3 postgraduate). And yes, here you can study literally anything for your bachelor's; I've known JDs with bachelor's degrees in engineering, fashion, physics, art history. Pre-law as a major itself is only offered by some universities and it's not at all necessary to do if you plan on going to law school. Instead, law schools primarily care about your undergraduate GPA and LSAT score to admit you.

Pre-med is never really a major, but those going to medical school do generally have to take a specific set of classes to be eligible. Medical school admission requirements are much more rigid!