the pump and any other 12 volt
device will work off the battery. Your house items like fridge, a/c, microwave and such will not. There is a converter you can buy, small and not expensive, that will let you run some small applainces off the battery as well. It converts 12v
to house type current. Be aware though that without a generator or solar re-charging system, the battery will only last so long, depending also on how healthy it is. Be sure to check its water inside the cells if it has removable lids, and check its charge to see if it is full. You can do that with a voltage meter.