You both should apply for the permit, as a family.

As I know, partners, no matter what nationality, will get a permit that allows working in the Netherlands. I even don't know if the Netherlands has a permit without working permission.

More info about conditions you will find here.

Your partner should apply for the residence permit as a partner of EU/Switzerland citizen.

As I know, partners, no matter what nationality, will get a permit that allows working in the Netherlands. I even don't know if the Netherlands has a permit without working permission.

More info you will find here.