The library in Jasper offers free wifi access. I am on it now.
they are open M-Th 10 am to 8 pm, F-Sat 10 - 5. closed Sunday and holidays (labor day). They are in a temp location under the ice arean bleachers, 20 or so chairs to sit in.
Bring your laptop, but I think they have a few computers available for short usage. Slow, but find for email and simple surfing. Forget downloads, slower than dial up.
Also the visitor center in Jasper has free wifi, but it is very busy place with almost no place to sit. They may open earlier, but close at 7:30. The staff told me they turn wifi off shortly after they close. They are open Sundays.
There is also a cafe in Jasper that has a sign saying 20 minutes hi speed internet for $2. I did not look into that.
I also read the library in Banff offers free wifi, but have not been there yet.
I haven't found anything on the internet about free wifi in lake louise. Some hotels mention free wifi in their lobbies, but this very likely may be limited to guests. Perhaps the visitor center?
The area is so beautiful, you likely won't want to spend too much time on the internet anyway.