There is a Farmers' Market there every Monday and Wednesday (Fridays, too, maybe, I'm not sure) during warmer months, so it's nice to have some open space for that.
Actually, RP and I are going there today. A friend of mine from High School is a Southwest flight attendant, in Boston for the day. The easiest place I could think of to send her was Government Center (we come in from the Green Line; she'd take the Blue Line from the Airport) and then we'll go to Faneuil Hall or something from there. But the directions were, go to Government Center T stop, get out and in front of you is The World's Ugliest Government building.
She says she's looking forward to it.