CIC does name-based checks for all applicants. The only reason that CIC would request a PCC from you is if someone with the same name as you has a police record. Then a finger-print based check is required.
So maybe your lawyer is being thorough, but unless/until CIC requests it, it is unnecessary.
If it is requested, instructions are provided by CIC on their website.
http://www.cic.gc.ca/english/information/security/police-cert/north-america/canada.asp
