Those two hoses are for your heater core; that's what makes your heater get 'hot' when the temperature knob is turned to the red side of the climate switch. To better explain, as your engine coolant gets warm, it circulates and there's a valve that when open circulates through the heater core which in turn gives out heat which your blower fan propels towards the vents. If you're feeling heat, make sure for 1) that you're temp setting isn't on hot and 2) with the hood raised, have someone turn the temp knob while you're watching the little box with a wire stuck to the firewall. The wire should pull in and out, that's a valve that opens and closes the hot coolant from circulating through the heater core. If it's not moving then you need to replace that valve.
At least yours works, most people complain that it never gets warm

But I understand this is not the time of the year that you want your heater working.