If you want to waste thousands of dollars. Just get a divorce in your country.
Agree with this except the divorce part because there is no divorce in the Philippines. Per OP’s posts, it looks like that is where she is.
Jophy, as canuck said, if you want to spend money go ahead and sue them. Note the following:
1. You can only sue them in the Philippines, adultery is not a crime in Canada.
2. If your husband is a citizen here and processed a divorce (after gaining Canadian citizenship) to get out of your marriage, that divorce will be recognized in the Philippines and your case will be useless. (Since you have not spoken to him I am assuming he may have applied to become a citizen without you knowing.)
3. If your husband simply stays away from the Philippines if and while he is PR, your case is useless.
As you can see, you will only waste your time and money. My advice is to move on.