Does a Canadian record suspension or pardon automatically make me admissible again?

Generally, yes, for a Canadian conviction: once a record suspension — what used to be called a pardon — has been granted for a Canadian offence, it is treated as clearing the underlying inadmissibility that conviction created, without needing a separate rehabilitation application. The record suspension has to still be in effect; if it is later revoked or ceases to have effect, the original inadmissibility can come back.

This only works for convictions the suspension actually covers. It does nothing for a foreign conviction, even if the equivalent offence would also be a crime in Canada — inadmissibility based on a conviction abroad still has to be dealt with through deemed rehabilitation, individual rehabilitation, or a Temporary Resident Permit. It also doesn't erase the fact of the conviction for other purposes, such as how an officer might assess credibility or past conduct elsewhere in an application. Because a record suspension can take time to obtain and depends on its own separate eligibility rules, anyone relying on one to resolve an inadmissibility issue should confirm it has actually been granted and remains valid before submitting anything to IRCC, rather than assuming an application still in progress will be treated the same as an approved one.