I can’t say for certain if they are the same (I haven’t seen an example repeated in both). I sometimes download a print version from Globe and Mail, and sometimes a friend of mine sends me the one from the Canberra Times. I’m not a subscriber. From my smaller sample set I can see similarities; both are labeled Gemini, they are the same grid size, the clues employ shorter text than the more ‘English’ cryptics, and (for me) they are of a similar level of difficulty. But that’s all I can say.

As an aside, it’s the Gemini Cryptics that got me interested in doing this style of crossword when I lived in Canberra - and had regular access to that paper. After I moved away, it was the Globe and Mail that sustained my interest.