The "Healthy Mother and Healthy Babies Access to Care" Act (S. 2061) is still being considered by the Senate. The language is typical, "The bill protects women's access to quality and affordable obstetric and gynecological services by reducing the effects of excessive liability costs for such providers." Basically, it's saying women can only sue for $250,000 maximum even if a doctor does something horrible like blind their child in the process of delivering it. It also says that the current administration is in bed with insurance companies. And it's also quite telling that they would go after ob/gyn services and the women who use them specifically, and not medical patients in general.
A typically alarmist and information-lacking article from NOW.