Southern Cross Gliding Club at Camden do aerotow launches and have a comprehensive fleet including 4 twins and several single seaters at different performance levels. They operate on weekends and Monday, Wednesday and Fridays midweek and offer 10 flight packages which are good value. There are two other clubs operating touring motor gliders at Camden but that is a different form of gliding entirely. As already mentioned, Central Coast Soaring Club operate at Mangrove Mountain and winch launch on Thursdays and weekends. They have an open cockpit version of the venerable K13, which I think would be great fun.
Further afield, Bathurst Soaring Club operate on weekends but do occasionally offer ab initio training courses mid week (check their website). Personally I can recommend Lake Keepit Soaring Club which operate every day with a professional manager midweek, accommodation at cheap rates on the field, good aircraft and unrestricted airspace. In winter it may also have weather advantages. A number of members fly their powered aircraft up from Sydney if you want to fly in and avoid a 6 hour drive. If you were to do a 5 day course you would almost certainly go solo and probably get a few of the earlier qualifications done as well.
There are lots of options depending on your time availability and preferences for airspace and there are several very well regarded clubs in country NSW. The GFA website has a find a club link on their home page but here it is adminGlidingAustralia
Whichever option you choose, you will love it.
Cheers, Terry