They definitely do. Although I am quite lucky because my dog doesn't at all. However, he does BURP like no tomorrow. He'll stare right in my face and let out a huge burp. It sounds human-like at times too. It is really funny. It is quite common for dogs to be gassy especially from eating certain foods. Canned food also makes it more likely to happen. I decided to look this up...oddly enough, because I've heard that some dogs are more gassy than others like terriers is one I've heard and this was on a website...

Top 10 Gassiest Dogs
Dog the FART most
-Mixed Breed
-German Shepherd
-Labrador Retriever
-Boxer
-Poodle
-Doberman
-Cocker Spaniel
-Rottweiler
-Beagle
-Dalmatian