The process will depend on the particular charge:
If you’re charged with tagging under the Summary Offences Act (a Category 1 offence) you’ll be dealt with in the District Court, and usually by Justices of the Peace or a Community Magistrate rather than a judge. With Category 1 charges, you don’t have to go to court at all if you simply want to plead guilty, as you can send the court your plea in writing.
If you’re charged with wilful damage under the Summary Offences Act (which is Category 2) you’ll be dealt with by a District Court judge. This will include your trial if you plead not guilty, where you’ll be tried by the judge without a jury.
However, if the police charge you under the Crimes Act with intentional damage (which is Category 3), you’ll have the right to choose a jury trial in the District Court.
For an explanation of the different criminal offence categories, see the chapter “The criminal courts”, under “Overview of how the criminal courts work”.