Yes, applying for permanent residency. sorry, its all so new to me!
Just so you know except of few categories (accepted conventional refugee, spousal sponsorship, parents and grand parents sponsorship), you cannot just apply for PR.
You will have to be selected and invited to apply directly, or being selected and nominated by a province.
Just having a job in Canada is not enough.
It all plays down either how many points he has or if he qualifies for one of the other programs (PNP, Atlantic pilot program, Live in Caregiver..)
And for curiosity, did you think about option him to marry you and then to apply for a green card? Such way might be easier for him and for you as well.