Real time dynamics in gauge theories is a significant subject in high energy physics. While it is a great challenge to simulate time evolution of quantum systems on classical computers, dipolar molecular platforms are able to realize analog quantum simulation for quantum many-body dynamics. Under the quantum link model formulation of quantum field theory, we have developed quantum simulation schemes with dipolar molecules to obtain the U(1) quantum link models in 1 + 1dimensions for both spin ½ and spin 1 particles. We utilize the method of effective Hamiltonians and give possible experimental parameters for realization. The schemes are verified by numerical simulation and interesting dynamical phenomena such as string inversion and string breaking could be observed.