If the fan is set to high or low, the A/C fan will run continuously. Cycle the thermostat to FAN mode and press the + or - button to change the fan setting to AUTO.
If your living room thermostat is set to FURNACE/HEAT mode, and the thermostat set point is set higher than ambient temp, the furnace blower should start within a few seconds. After about 20 seconds, it should attempt to ignite the burner.
If the furnace blower doesn't run at all, cycle the thermostat to OFF and press the + or - key to see what the ambient temperature is at the thermostat.