It's HOT!!!!!!!!!!!!!! and sticky.
We did a weekend trip to Houston awhile back. We stayed at an AmeriSuites, I believe, near the Galleria. Just a hop, skip, and jump away and it was a nice area. Upscale dining and shopping to boot! We went to the Kemah Boardwalk, had dessert at a restaurant down there, and just walked around. It was a nice evening, wtih the breeze from the water. I have been to Galveston beaches many times but unless you're just dying to see a beach, I'd stick with the hotel pool. There is some nice shopping down there, though, and a some good seafood places. It's only 45 min if you want to try it out... NASA is on the way, though I was disappointed in it when I went last... but maybe it's because I'm not hugely into space stuff?
We also hit Ikea, actually, that was the reason we went =) I could spend HOURS there, so if you don't have one in your area and you're interested in home design, you might want to make a stop... it's a home owners dream, I was in heaven!
Have fun and enjoy your stay in our great state!