It won't be enough. You should send all the proof you have with the application when you send it to Mississauga. Later, yes, you can add additional proof, but this additional proof is usually proof from after the application was submitted - more phone logs, evidence from a trip taken after the app was sent, and so on. An application that is complete and has a lot of proof that the relationship is real is usually processed faster than the average, so it is worth it to submit a good application in the first place.
Since the visa officer will probably think it is a marriage of convenience - when a failed refugee claimant gets married a week before he has to leave Canada, it looks like a MOC - you will need a lot of proof that the relationship has lasted for a while. If you don't have much, get affidavits from friends and relatives stating that the relationship is real. For the phone records in your friend's name, don't just use a letter from him - get an affidavit from him explaining the situation.