wow...you have no idea what's what huh?...yeah, I can see the hose behind the kicker in the pic...whether it's breathing or not, I have no idea, you'll have to figure that out.
put your hand just behind the kick starter on the case, you'll find the hose.
other than that...I can't explain it any simpler, best of luck!
maybe another member could be kind enough to post a pic of the case vent...I would, but neither of my bikes are here at the moment.