As of this post, she's still in surgery according to CNN and Fox. Ms. Giffords is wife to STS-134 commander Captain Mark E. Kelly, USN. Twelve others are reported to have been shot, though it's unclear as to whether there are any fatalities.
Update: Giffords is in critical condition. At least one victim reported as a fatality is Judge John Roll, appointed by President George H. W. Bush. Early reports identify Jared Loughner, 22 years old, as the shooter. Hot Air is keeping up with the noise.