One of the things season two does is to give us a glimpse of the universe beyond the Republic and beyond the Separatists. There are a lot of bounty hunters in season two. And some pirates. Fun stuff. Oh, and one raging monster.
My favorite story of the season is the Mandalore arc. I think that trilogy of episodes is a must watch for any Star Wars fan. There's just too much important background for Obi-Wan. Definitely the first two, at least. You can find my reviews of those episodes here, here, and here.
This season also deals a lot with the philosophical issues around cloning. Or around the clones themselves. What makes an individual? What is just a copy?
Definitely check out this episode.
I did, also, have an episode I wasn't all that fond of, but I don't now remember which one it was, and I'm not going to read back through all of my reviews to figure it out. If it doesn't stand out enough for me to remember which one it was, it couldn't have been that bad, right?
Season two really doesn't require that you've seen season one to watch it. Neither do most of the story arcs. With that in mind, I would suggest picking out an arc that sounds interesting and just sit down and watch it.
