The authors calculate the cross-section with one-loop electroweak corrections to electron-positron pair production via two photon collisions in the standard model (SM), including virtual corrections and soft photon radiative correction. The relations between the cross-sections are discussed in tree level (and one-loop corrected cross sections) and center-mass energy in the luminosity measuring ranges of GLC. At last, the authors acquire the relation curves between differential cross section and the outgoing electron angle.