1+1D QCD in large Nc limit is an ideal theoretical laboratory to test the real world's phenomenlogical researches by first-principles calculations. We apply 1+1D QCD in the study of hadron structure, justify the frame work of large momentum effective theory, we confirm that the quasi-PDF/DA converge to PDF/LCDA under large boost. We also perform a gauge invariant energy decomposition on various mesons at arbitrary momentum and provide a partonic interpretation for GOR relation. The decomposition exhibit surprising divergent behavior in the soft pion limit.