Not much to do in The District. It does have the stores, none of which are really my taste.
Living in the Southwest area, I don't find it worth it to drive all the way down there unless I'm eating at Lucille's.
The one good thing I will say about it, is that it looks pretty, especially at night. If I am on that side of town, it's nice to sit outside drinking coffee [given that the weather is bearable].
Parking there is pretty bad, especially at night. My best advice would be to park at Green Valley ranch and walk to The District from there.