Hi pady!
I live in Alberta, born and raised so I can't give you much info in regards to "moving" to AB...I too have heard there are long waits for GI's (unless you've already established a GI to take care of your IBD) not sure how long it takes to get an Alberta Health Care card either, but currently there is no cost for us to have one.
Here's a link to Alberta Health Services and hopefully it will help you as a starting point if nothing else...
http://www.albertahealthservices.ca/
Best of luck to you with your move and settling in.