The word bestow means to present or to apply. So a bestow bill is a bill or a proposal of a law which is applied or is presented in front of the concerned authorities. Concerned authorities here means the law making body. e.g. a bill which is proposed in legislature is bestowed as a bill, as it is presented in front of a law making body to be approved and then be called as an act. The initial proposal of the law which needs to be brought up is basically a bestow bill and this will ultimately be turned into an act if it gets assent of the legislature which has a majority.