Jumu‘ah prayer is not obligatory for women, but if a woman goes out to the mosque and prays Jumu‘ah, that is sufficient and she does not have to pray Zuhr.
The scholars of the Permanent Committee for Ifta’ were asked:
If a woman prays Jumu‘ah with the imam of the mosque, that is sufficient and she does not have to pray Zuhr. Hence it is not permissible for her to pray Zuhr on that day. But if she prays on her own, she should only pray Zuhr and she should not pray Jumu‘ah. End quote.
So if she prays Zuhr in her house on Friday, then she should pray the Sunnah prayers that come before and after Zuhr, as she does every day.
And Allah knows best.