He can send her an invitation to come visit him. She can apply for a visit visa based on that. They will have to show that they have funds for her to visit without working illegally as well as she will not overstay in Canada. There is no guarantee that her visit visa will be approved. If immigration thinks she is not just coming to visit, they can deny.
As for sponsoring her for PR, he can do that as long as he is not bankrupt and not on welfare and his PR status is in good standing and he is living in Canada. If he is a Canadian citizen, he doesn't have to be living in Canada but if he isn't, he needs to show plans to move when she gets her PR.