Despite the close relationship between the Earth and its moon as well as successful human visits to the moon, life there is not currently sustainable. The moon doesn't provide enough oxygen for humans to survive. Solar radiation is also a problem, since the moon is outside Earth's protective atmosphere.
Even if humans were to wear protective gear to survive on the surface for an extended period of time, the moon lacks ample resources. Discovery indicates that a source of energy would have to surface to support heating and lighting. The moon also experiences more extreme hot and cold temperatures than the Earth.