The charging system light will come on briefly when the ignition is turned on, as a check to show that it is working. Then it should go out.
If it stays on, or comes on while the vehicle is being driven, there may be a problem with the charging system. It could indicate that the vehicle has a loose accessory belt or another electrical problem. Have it checked right away. Driving while this light is on could drain the battery.
If the vehicle must be driven a short distance with the light on, be certain to turn off all the accessories, such as the radio and air conditioner.