The bill permits cyclists to proceed through stop-signs without stopping so long as they do so safely and only when there is no cross traffic. It lets bicyclists treat stop-signs as if they are yield signs. A bicyclist would have to yield to any cross traffic in the intersection, but could proceed without stopping if there is no cross traffic
Please email your legislators asking them to support this act. For more information read this post from TucsonBikeLawyer.com.