Having your grandmother’s birth is a great start.
You need to prove a direct line of descent by birth* back to your grandmother — assuming she’s the last generation born or naturalized in Canada.
So, her birth certificate would establish that she was Canadian if it’s from a Canadian province or territory. However, you will also need to demonstrate :
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that one of your parents was her child with their long form birth certificate with her name listed as their mother — if your grandmother’s family name changed in marriage, you’ll need a marriage certificate or other proof to show she was the same person;
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likewise, you’ll need to demonstrate that parent your parent’s child through your long form birth record and possibly your parents’ marriage certificate if claiming through your mother.
*Adoption unfotunately continues to not have quite the same process:
If you were adopted, and you are claiming citizenship through your adoptive grandmother, this is possible but it’s a two step process where your adoptive parent would need a Confirmation of citizenship first and then you could apply for a grant of citizenship.
If the parent you are claiming citizenship through was adopted by your grandmother, as the Act is now, they would not be able to pass down citizenship to you. They could get a grant of citizenship for themselves but it would only come into effect the day the grant is made and couldn’t only pass it down to their children born after the date of granting.