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If there is a single bond, it's always a sigma bond. If there are multiple bonds, one will be a sigma bond, and the remaining ones will be pi bonds. If you have a triple bond, then one will be a sigma bond and the other two will be pi bonds.
I'm actually not sure if given only the hybridization orbital of a molecule that you can figure out the type of bonds, as the hybridization orbital doesn't really give insight into whether there are double or triple bonds present. You would mainly need the molecular formula to draw out the Lewis structure, which from then you can figure out the hybridization orbital and also see what type of bonds are present; all bonds have a sigma bond, but having a double or triple bond would also include the presence of pi bonds (double bond = 1 pi bond // triple bond = 2 pi bonds).
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