Grease an 8 × 8 inch pan with butter.
In a bowl, mix the granulated sugar, brown sugar, and cream.
Cook in the microwave for 10 minutes, stirring twice during the cooking time.
Remove from the microwave and let rest for 5 minutes.
Using an electric mixer, beat the mixture for 5 minutes.
Place the Québec fudge cream in the refrigerator for 1 hour to allow it to set.