That's right. To get the pardon, you need to have satisfied the wait periods for all of the convictions on your record. In the case where your only conviction is for possession of cannabis, you will have satisfied the wait period, because we've waived the wait period.
Evidence of meeting #158 for Public Safety and National Security in the 42nd Parliament, 1st Session. (The original version is on Parliament’s site, as are the minutes.) The winning word was process.
A recording is available from Parliament.