Well, if it helps, ampere (the unit for current) is actually defined as a certain amount of charge being transferred per second.

So yes, current is equivalent to the amount of water flowing past in a certain unit of time. Voltage is the pressure. And power (the amount of work the electricity can do), measured in watts, is the amount of current multiplied by the amount of voltage.

If we ignore all the complications of current and voltage being out-of-phase in AC, one watt is the work done by one volt of voltage andf a current of one ampere.