First, I find the structure confusing as drawn. Are the copper centers square pyramidal? I.e., do all the atoms share a plane except for the ones represented by vertical lines? (Can you represent the molecule by two square pyramids, inverted relative to each other, sharing one side of their bases, as shown in the attached image.) If yes, no it would not be C2v because there are not two mirror planes that contain the principle axis, a criterion for C2v.