We have used a scanning tunneling microscope to demonstrate that a single CuO_2 plane can form a stable and atomically ordered layer at the surface of Bi_2Sr_2CaCu_2O_{8+delta}. In contrast to previous studies on high-T_c surfaces, the CuO_2-terminated surface exhibits a strongly suppressed tunneling conductance at low voltages. We consider a number of different explanations for this phenomena and propose that it may be caused by how the orbital symmetry of the CuO_2 planes electronic states affects the tunneling process.