It sounds like your dog might have either kennel cough
or canine influenza
Both of these are very easily picked up from another dog.
You can see if some Robitussin DM will help the dog breathe better and control any cough or sneezing or runny nose. Read here about cautions and dose info
You can see and hear a dog with kennel cough here
If you see a colored discharge from nose or eyes, if your dog coughs stuff up, seems lethargic, has any real trouble with breathing, or goes off eating, see your vet as your pet may have a secondary bacterial infection that will need antibiotics or other meds.
Other diseases such as distemper can cause coughing and because of this dog's breed another possibility is a trachea issue.
Some breeds of dogs with pushed in faces have problems with their trachea which you can read about here
I'd plan on a vet check up for your pup.