We report the growth process, structure, and electronic states of 1 unit layer (u.1.) of a Ce-Pt intermetallic compound on Pt(111) using scanning tunneling microscopy/spectroscopy (STM/STS) and low-energy electron diffraction. An ordered (2 x 2) structure was observed in the form of films or nanoislands depending on Ce dose by annealing at around 700 K. A structural model constructed from atomically resolved STM images and quasiparticle interference (QPI) patterns indicates the formation of a new surface compound 1 u.1. CePt6 on Pt(111) terminated by a Pt layer. A lateral lattice constant of the 1 u.1. CePt6 on Pt(111) is expanded from the value of a bulk CePt5 crystal to match the Pt(111) substrate. By measuring dI/dV spectra and QPI, we observed an onset energy of the surface state found on Pt(111) above Fermi energy (E-F) shifts below E-F on the Pt layer of the 1 u.1. CePt6 due to charge transfer from the underneath CePt2 layer. We discuss a possible two-dimensional coherent Kondo effect with the observed spectra on the 1 u.1. CePt6.