internet terminals
All Sutherland Shire Libraries (http://www.suthlib.nsw.gov.au) provide full Internet access for $3.30 per hour to travellers. There are libraries at Cronulla, Caringbah, Miranda, Sutherland and elsewhere, that are open Monday to Friday and Saturday Mornings. Only Sutherland is open Saturday and Sunday afternoons. Bookings are taken, and you may need to book at peak times.
wifi
Gloria Jeans Coffee by the station in Sutherland provides free Wi-Fi for customers, as does the cafe two doors down in the Eton Arcade, and various other cafes around. Usually you will need to get the password from the counter.
There is free Wi-Fi in both the food courts in Miranda Fair shopping mall, courtesy of the McDonald's restaurants there, as well as at the McDonalds in Kirrawee and Sylvania.
The libraries have Wi-Fi for $2 for 2 hours - buy a card from the counter.