Noodles are good. Floating lounge is not. As Starbox said, the lifeguards ban anything that obstructs their view to the underwater world. After 5pm though, when lifeguards retire... you can bring your lounge in.
I would not have thought so either, but I witnessed a lifeguard telling someone they could bring their's in after 5pm. I'm rarely around the pool after 5pm (low sun - no fun) and I don't know if they did bring it in.