There are several prairie dog communities around that are cool to sit and watch for a while. Right now every thing is pretty bare, with most of the fields being empty getting ready for the spring planting season. There are lots of small towns around the area that are great for getting some interesting shots as well.
As for things to see and do, the depot district has some great brick lined streets, and semi active nightlife. The ranching and heritage museum is pretty cool, as is the windmill museum (with one of the few if not the only remaining double headed windmills still in operation)
The entire yellow house canyon is fairly scenic (in a rugged sort of way) east of town.
There are a few wineries in the area that are good to visit.
If you'd like -- you are welcome to PM or call me when you get up this way and I'll be glad to give you directions to some of the places, etc.
You should also plan on at least having a look at the Texas Tech campus as the old styl spanish architecture is fairly unique for a college campus.
Beyond those -- as Don stated there is a lot of really really wide open sky, which on the right evening can provide some incredible vistas of sunset.
Really -- Lubbock is a great place to live, but I am not sure I would want to visit.
