An electric vehicle is any vehicle that can drive on electricity derived from a power plug and stored in a battery, which is typically designed as the chassis of the EV. A battery electric vehicle (BEV)) drives solely on battery power from the plug. The capacity of the battery determines the range of the vehicle; some early Nissan Leaf cars have a 24 kWh battery capacity which will take you about anywhere between 100 and 120 km - and that depends on terrain, and age of the car. A Tesla Model S with a 90 kWh battery has a range of 370-400 km with the same provisos. A leaden right foot on the accelerator in either car can reduce range, as can driving over 100 km/hr!
There are a few different ways to charge. You can learn about them here.