Looking to Explore Leipzig

I'm new to Leipzig, am now in my second week. The majority of my time here so far has been taking care of paperwork and recovering from jet-lag.

I would like to take some time this weekend to explore the city some, see the sights, take some pictures, etc. I realize that's tourist-y, but I figure I'm allowed a little of tourist-y behavior the first bit.

Any suggestions on places to go or things to see, or a tour that would allow me to see all the things without getting hopelessly lost?