The study of the interaction between ion beam and plasma is very important to the areas of inertial fusion energy and high energy density physics (HEDP). With detailed one-dimensional (1D) electromagnetic particle-in-cell (PIC) simulations, we investigate here the interaction of a laser-accelerated proton beam assuming an ideal monoenergetic beam with a gas-discharge plasma. After the saturation stage of the two-stream instability excited by the proton beam, significant high energy electrons are observed, with maximum energy approaching 2 MeV, and a new two-stream instability occurs between the high energy electrons and background electrons. The trajectories of plasma electrons are studied, showing the process of electron trapping and de-trapping from the wakefield.