The next step in an arduous journey to recovery is extensive rehabilitation in which she will have to relearn how to think and plan.
It's unclear if she is able to speak or how well she can see. And while she is moving both arms and legs, it's uncertain how much strength she has on her right side.
Six people were killed during the Jan. 8 shooting rampage and 13 were wounded, including Giffords.
A federal grand jury has indicted the suspect, Jared Loughner, accusing him of attempting to assassinate Giffords and trying to kill two of her aides.
Officials said the initial indictment was just the beginning of federal legal action against the 22-year-old Tucson resident.
It does not include two murder charges included in an earlier criminal complaint for the deaths of another Giffords aide and a federal judge.
Meantime, surveillance video may provide new information about the deadly shooting in Tucson, Ariz., according to authorities.
The video has not been released to the public, but investigators said it is very clear and could give them a specific time line on the shooting.
Mark Kelly, the husband of the congresswoman, told ABC's Diane Sawyer in an interview that his wife is doing remarkably well, even playing with his wedding ring.
The Associated Press contributed to this report.