That they will and I suspect a Class is all that most airlines will ever want to see unless it's one of the tedious ones that require an in house medical. Mind you, high blood pressure seems a trifle subjective these days although it's surely undeniable that the requirement trend is in an ever downward systolic/diastolic spiral.
But hypertension can be life shortening, so quite apart from the matter of an aviation medical certificate, I'd want to thoroughly investigate its cause. Besides which, some blood pressure medications can cause a decrease in testosterone and/or erectile dysfunction, so their use should be as targeted and selective as possible. The older one gets, the harder it doesn't become and miracle stiffeners are no substitute for one's natural fortitude as a young man.