When you get your Canadian tax refund depends on when and how you filed your Canadian income tax return.
The Canada Revenue Agency advises that they usually process paper tax returns in four to six weeks. Canadian income tax returns that are filed electronically are processed faster, within two weeks.
However, realistically, you can't expect a Canadian tax refund before March at the earliest, even if you filed your tax return in January, because the Canada Revenue Agency doesn't start processing income tax returns until mid-February.
Having your Canadian income tax return chosen for review can slow down the Canadian tax refund process. See Review of your tax return by CRA for information about the review process, including how tax returns are chosen for review and how a review differs from an Audit.