You should discuss with the doctor. The question is why you were put on the PPI. If you're feeling better now after taking the PPI I think it pays to already ask if you can either reduce the dose (if you're taking 40 mg, to take only 20 mg) or try to wean off it.
On the other hand, if you need the medication to prevent esophageal irritation, then taking the medication is important, but you can see if an H2 blocker works for you, and then that's preferable.

My own (nonmedical ) feeling about PPIs is quite negative. They seemed to be as hard to get off of as opiates. The Peoples Pharmacy has a good "tea" you can make to help the rebound effect and the heartburn. H2 blockers are milder and much preferred. I think doctors are much too quick to perscribe them. That being said, they do have their place. I had to cure a horse with gastritis and it did the trick. But with him, I could dictate the taper. People are not so compliant.