In case someone else comes along looking for a solution to this problem. Simply add this callback before the while loop:
def char_notify_callback(char):
char_value = (char.value())
print("Got new char: {} value: {}".format(char.uuid(), char_value))
And update the char condition:
if ((char.properties()) & (Bluetooth.PROP_NOTIFY)):
characteristic.callback(trigger=Bluetooth.CHAR_NOTIFY_EVENT,
handler=char_notify_callback,
arg=None)