There are a number of different models. There's the one that would give the commissioner the power to compel a public body to follow the requirements of the law. Currently it's not the court nor the Privacy Commissioner; it's simply a requirement that every citizen and every employee of the crown follow the law, but there's no particular accountability.
Without completely revisiting the role of the Privacy Commissioner of Canada--which is currently in the model of being an ombudsperson--the best way to do it, as an interim measure at least, is to give the court that power and leave the Privacy Commissioner of Canada within the ombudsperson sort of model it is.
On whether we think that giving the Privacy Commissioner order-making powers would significantly change the role of that office and the person in it, that debate should probably take place in a wider debate about more comprehensive reform of the legislation.