You would put the relay coil in place of the LED+resistor, but only if the output current spec of the 555 is greater than the required current for the relay coil. So you'd need a transistor to drive the relay, but since you need a transistor anyway, the relay is redundant unless you need to isolate from the mains. So all you really need is a transistor that's good for an amp, and maybe a 2.2K resistor from pin 3 of the 555 to the base of your transistor. The emitter of the transistor should go to the negative pole of the 12V supply, and its collector goes to the negative terminal of the pump motor, and the positive of the pump motor goes to the positive of the 12V supply.
Picking a transistor that can switch an amp is left as an exercise for the reader. (GAW! I _love_ saying that!!)
Good Luck! Rich