If you sign up in store, you will be given a membership card.
If you sign up online you can see a digital card and points. Don't worry though, if you would like a physical card too, pop into your local store and they will be able to give you one.
However, you don't need a physical card to claim points in store. Just tell a store associate that you're an LYBC member and they will be able to look up your account details. It's all done digitally!