it sounds like you can get episodes as they air live, but you have to subscribe to the $20 option of Crave.
Canadians can finally stream new HBO shows without a cable subscription
edit: i have Crave, but haven't looked at it all that much. it comes included with my cable/internet package ...which includes HBO, The Movie Network, The Movie Network Encore, etc, anyway ...so i would usually just pvr stuff that i wanted to watch, rather than stream from Crave (which in the past i just used to watch Seinfeld and Cheers episodes, and some documentaries).
i checked Crave this morning and it does include a section for live on air channels ...which includes two HBO channels (HBO 1 and HBO 2 ...#2 shows the same programming as HBO 1, but two hours behind) and 4 Movie Network channels ...which are all different channels showing different movies. The Movie Network typically shows somewhat newer movies ...like Bladerunner 2049, Get Out, Deadpool 2, etc.
The Movie Network Encore (two channels) seems to show movies typically from the 70s, 80s and 90s ...but they don't appear to be included with Crave.
So there we go ...hope that helped a bit.