The cold will be just as hard on the dog's body. The coat of a Boxer dog is short and this type of dog does not have an undercoat as some other breeds.
Cold temperatures and harsh winds will be a tough opponent against a dog that does not naturally have the needed protection to deal with those conditions.
Could he or she survive...? Yes, with temps ranging from 32F (0 C) to 75F (23.8 C) Boxers could be outside for the day - if given food and enough water, but would probably be very unhappy and uncomfortable.
Should he or she be made to endure the outdoor elements? No, the Boxer of today is mainly a companion breed, super sociable with his humans and not very tolerable to long periods of harsh outdoor weather.