Canada's primary handgun during WWII was the Smith & Wesson "Military & Police" revolver chambered in .38S&W (of which the .380 British service revolver cartridge was a military version.) The "Victory" revolver referred to in some of the replies posted so far was, in effect, a "war expedient" variant of the M&P model - not all Canadian service revolvers were that configuration, however - for example, the example pictured in the article linked to below is a very nice commercial-grade revolver, with polished blue finish and checkered grips.
In 1944, we adopted the home-built Inglis High Power (9mm) which remains our standard-issue military handgun right up to the present day. (For WWII service, Canada acquired over 118,000 S&W .38 revolvers, and about 54,000 Inglis pistols, versus about 3,500 .380 Enfield revolvers - mostly used by the RCAF, as I recall - and 4000 1911A1 Colts - issued to Airborne troops, mainly.)
Canada has had
very few Webleys at any time (WWI, WWII or ever) - and only the relatively small number of Enfield revolvers mentioned above - most of our service pistols have been American, as detailed in the article (link below.) Our primary handguns during WWI were the Model 1911 Colt in .45ACP (5000 acquired) and the S&W "Hand Ejector" revolver - also called the "New Century" model - in .455 cal (14,500 of those).
For more detail, here is an online article about Canada's military service handguns of the 20th Century ...
http://www.canadiansoldiers.com/mediawiki-1.5.5/index.php?title=Service_Pistols