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That paper container is called a "carton" in English. We have them too for smaller sizes.
You can see some in the first picture. https://i.imgur.com/Obe3LqJ.jpg

For Canadian milk, you have to buy a pitcher like this:
https://i.pinimg.com/originals/30/db/a4/30dba43cce8dd3f09add7d5b67bfc0a7.jpg
and you save the pitcher and just buy a new bag. I have tried it, and even though it looks
like the bag will spill, it actually works just fine. Then you only throw away the bag, so it
creates less waste.