CuSe monolayer possesses intrinsically patterned triangular nanopores with uniform size and can serve as a template for selective adsorptions for molecules and nanoclusters. Here, we prepare the CuSe monolayer on Cu(111) substrate by molecular beam epitaxy method and characterize CuSe monolayer in detail by bond-resolved scanning tunneling microscopy and non-contact atomic force microscopy. The results further confirm the honeycomb feature and triangular nanopores existence of CuSe monolayer. In addition, scanning tunneling spectroscopy measurements reveal the semiconducting features of CuSe monolayer with a band gap of 2.40 eV. This work helps to understand the structure and electronic properties of those intrinsically patterned two-dimensional materials.