Basically you compete against other players who have joined in a ladder system, the rules of which can be found at http://www.wgt.agls.org.uk/forums/lad_rules.php - These rules are "Work in Progress" but the foundations are there.
Beating someone in a ladder match lower ranked than yourselves won't get you moved up the ladder. Basically to get anywhere you need to beat someone ranked higher than you.
Currently there is only 1 ladder, WGTLS 9 which will be added to as needed eg an 18 hole ladder.
Also it is my intention to add Tournaments etc once we have enough players.
In another ladder site I successfully ran several Ryder Cup Tournaments so again that will be my aim for WGTLS.
The correct website address is http://www.wgt.agls.org.uk