Do you really think some Cuban girl is going to get on a plane, finally get out of Cuba and then, one month later just gingerly get back on a plane and willfully return?
You're dreaming!
She'll take off as soon as she's here and find Cuban friends in Canada (she'll have looked into this from there before she gets here) then she'll disappear on you and when it's established she's here illegally, you're the one LE will squeeze for answers since you brought her here in the first place. Your name will now be attached to a file of a 'non-desireable' and you'll end up having a series of conversations that you wish you had nothing to do with.
I've seen this happen with three of my Toronto friends and my own Cuban male friends (both here and there) advise against doing this themselves.
I met a girl two years ago who was engaged to a European guy. We spent some time together then I lost contact with her. I bumped into her again this year. It turns out she had gotten married and moved to Europe. She was separated and getting divorced. She had returned to Cuba because she didn't have much of a life in Europe. They lived in a city that didn't have much to offer and she had traded one miserable life for another.
She has been back in Cuba since May this year, and keeps putting off her return to Europe... A Cuban guy that works on my project is also disillusioned. He had a more comfortable life in Cuba, he is away from his wife and children. If things don't improve for him in a few months, he is moving back.
I believe many of them believe life outside of Cuba is the land of milk and honey with untold riches for everyone. Once reality sets in, many actually want to go home. I think that if they have the freedom to travel, once they get a taste of the outside world and the responsibilities they have to survive here, quite a few return to home comforts and family.
Not to say than the majority wouldn't jump at the opportunity to move away, it is best to look into the legal ramifications before offering anyone a trip to Canada under your name.