This is great news. I was more than certain that the show was getting axed, especially with the American Dad renewal. With a short order (no pun intended) of 13 episodes, I'd expect to see this come back next Spring, once they're run through the gamut of AD/Cleveland episodes early in the fall.
If you got turned off by the admittedly-awful first episode, give it another chance. You won't be sorry.
And now the reworking will begin, as ABC moved Grey's Anatomy to Thursdays at 9 in their upfronts. Unless CBS is planning some sort of major move, like getting CSI out of the Thursday at 9 slot, I don't see NBC keeping Studio 60 in that slot.