Gabriel is a European version of
Gavriel, a transliteration of the original Hebrew name.
Gabrielle is the French feminine form of
Gabriel. While they both have their origin in the Hebrew name
Gavriel, they are not "Jewish" names (I think you mean Hebrew names, as Jewish is not a language).
I found Gavrielle and Gavriella being used by real women online, but I don't know whether these forms are used by Jewish families or whether they are transliterations of authentic Hebrew forms.

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