Hello,
Just to clarify, The University of Melbourne does not have a computer science degree. With the new Melbourne Model, you could study the Bachelor of Science majoring in Computing and Software Systems however you would still study other science units such as Biology and Chemistry.
In terms of if any Uni is better, all Universities have their ups and downs. The University of Melbourne has the #1 science course in Australia however this does not mean that it is the best for you and your interests (which I am assuming is computer science). I don't know heaps about different Universities but I know RMIT and Swinburne have great technology programs (as there names are Royal Melbourne Institute of Technology and Swinburne Institute of Technology).
You would need to research each of the courses and institutions further to determine which course would be best suited towards your needs and passions.
Hope this helps