The complaint becomes public as soon as you get to a hearing panel. Once you get to hearings, section 2(b) of the charter requires openness. At that point, it becomes public by default.
Whether it's public from the beginning depends on the nature of the complaint, the complainant and so on. Some complaints are kept confidential because the complainant wants them kept confidential. Other complaints are public from the get-go because the complainant wants them to be public or because the misconduct in question has been public from the beginning. It really depends on the complaint.
That's something, again, that the bill leaves to CJC policies. How to navigate confidentiality in those early stages of the process is really tricky. It really depends on context.