We have studied the evolutions of surface electronic structure ͑Fermi surfaces and valence bands͒ by electron filling into a two-dimensional free-electronlike surface state, during adsorptions of monovalent metal atoms ͑noble metal; Ag, and alkali metal; Na͒ on the Si͑111͒ ͱ 3 ϫ ͱ 3-Ag surface. The Fermi surfaces ͑Fermi rings͒ of a small electron pocket grow continuously with the adsorption. Eventually, when the ͱ 21ϫ ͱ 21 superstructure was formed by 0.1-0.2 monolayer adsorption of Ag or Na, the Fermi ring is found to be larger than the ͱ 21ϫ ͱ 21-surface Brillouin zone ͑SBZ͒, and to be folded by obeying the ͱ 21ϫ ͱ 21 periodicity. As a result, the Fermi surface is composed of a large hole pocket at the ⌫ point and small electron pockets at the K point in each reduced ͱ 21ϫ ͱ 21 SBZ, meaning that the behavior of surface-state carriers becomes hole-like. Despite a sharp chemical distinction between the adsorbates, a very similar surface electronic structure is found for both the Ag-induced and Na-induced ͱ 21ϫ ͱ 21 phases. Based on the Boltzmann equation, surface-state conductivites of these surfaces are obtained from the measured Fermi surfaces, reproducing successfully the results of previous surface transport measurements.