I think gates close at 20 minutes before departure, they usually start boarding Y at T-45. 1 hr 5 minutes definitely is short if you get a bus gate, but if they're selling it then they must be confident that you can make it. At that peak hour time I'd think they'd have separate buses for short connections (a bus to A gates for certain destinations if the normal one goes to B).

And don't show up to the gate with a duty free bag...