Hanging out in DC
Are you willing to jump on the metro or hop in a cab to go elsewhere?
If so it really depends on the vibe you are looking for and if you want to just drink, hang out and sip coffee, or grab something to eat. I would recommend going to either U St., Dupont (not that far from GWU) or Gallery Place Chinatown. Depending on what you are looking for I can give you recommendations for these 3 areas.