The pump itself is supposed to run during the fill portion of the REGULAR cycle. It is supposed to be mixing the incoming fresh water with your laundry detergent and pouring the solution on your clothes as the tub rotates slowly. If the water is draining out of the machine, then there has been some sort of issue with the DIVERTER VALVE. It either has a broken lever on it or an object has become wedged in it, holding it open all the time. If you try the PERMA PRESS cycle, you will probably find that cycle will work, as it does not use the recirculate function.
I would check the diverter valve first. You can tip the washer back and remove the hose clamps with no tools and shine a light up inside and look for an object. You also can inspect the lever and will clearly see if it is broken.
If the washer needs a diverter valve, the part number is a 426862P and is easy to change. You can get them from Fisher Paykel Parts:
http://www.fisherpaykelparts.net/111-4/Diverter-Valve-GWL10-11-15.phpThey also have downloadable service manuals (but I have pretty much told you what you need here)
Here is the GWL10 manual:
http://www.fisherpaykelparts.net/115-15/GWL10US-Service-Manual.php