No, lactose is not added to dairy products. It is a naturally occurring sugar in milk.
Some people have issues in digesting lactose, but there is a lot of ways you can manage an intolerance to lactose by either purchasing dairy products that are lactose-free, or just consume smaller amounts of dairy.
Don’t forget that all milk in Canada, lactose-free or not, must follow the same high Canadian standards. Learn about Canadian milk quality standards!