You can study German Studies as well as learn German at the following universities:

Australian National University (ANU, Canberra)
Macquarie University (MQ, Sydney)
Monash University (Melbourne)
University of New England (UNE, Armidale)
University of Newcastle (mixed-mode delivery with UNE)
University of New South Wales (UNSW, Sydney)
University of Adelaide
University of Melbourne
University of Queensland (UQ, Brisbane)
University of Sydney
University of Tasmania (UTAS, Hobart)
University of Technology Sydney
University of Western Australia (UWA, Perth)