Like already said, there are lots of juice bars/salad places in the CBD and here is the link for the NSW Vegan Society http://www.vegansocietynsw.com/vs/html/index.html
It has a good list of vegan restaurants that aren't raw specifically but they might have more options than standard cafes.
Iku Wholefood (www.iku.com.au) might have some good options too (there's one I have been to @ Neautral Bay, but it's been awhile)
At three locations in the city:
MLC Centre Food Court, Martin Place, Ph 9233 8001
MET Centre Entrance to Wynyard Ramp, 273 George St, Ph 9251 0111
AMP Plaza Shop 15, Food Court, 50 Bridge St, Opening mid August
Check out the guide to Newtown: http://www.vegansocietynsw.com/vs/html/guidetonewtown.html for Macro, Dr Earth Health Foods and Alfalfa House.
And if you decide to hop on a ferry and come over to Manly we have a gorgeous beach and there is Pure Organic a nice cafe and organic fruit and veg + other produce store and also One Earth Cafe but that is mostly cooked veggie food not raw.
I hope the weather fines up, it's grey and a bit drizzly today but it's not unbearable

Also thanks for the link to the Sydney group, Catmom. Would be good to eventually meet some other rawbies.