There are quite a few top Universities that offer Masters in Veterinary Sciences:

The University of Queensland: Master of Veterinary Science and Veterinary Diagnostic Pathology

The University of Melbourne

Massey University: Master of Veterinary Studies, Conservation Veterinary Medicine

Murdoch University: Master of Veterinary Studies in Conservation Medicine

University of Veterinary Science: Master of Veterinary Science

While you are still in your Internship you should apply for IELTS/TOEFL which are the language proficiency tests for studying abroad. And you will need a strong Statement of Purpose to start off. You  need to make a list of the Colleges that you want to apply for and download their application form. You need to fulfil their IELTS/TOEFL requirements and so this is one area you have to work hard on. And once you fill up the application form and send it across, the University might take your interview via Skype. And once you are selected, you will receive a letter from the University. You have to then start your Educational loan and Visa processing.