I did recently go GF for about a week, to see if it made any difference to various gut problems - suffice it to say that bloating was one, and if we'd still had one, there would have been a lot of blaming the dog!
It did make quite a difference - my stomach went down noticeably, and I wasn't eating less, just substituting rice/rice noodles/potatoes for anything with gluten.
The symptoms weren't a massive problem so I've lapsed again - I do like bread and proper pasta - but I really ought to do it again.
Personally, given that the symptoms could hardly be called serious, I wouldn't think of bothering the GP.