The answer to this from anecdotal evidence only is "yes" the heart grows and "yes" it's a good thing.
Heart hypertrophy by itself can be a bad thing (google it), but when linked to exercise, it's a good thing. My reasoning for this is that fit people typically live longer, healthier lives than slugs.
Your heart will surely grow and adapt to exercise in many ways: stroke-volume (amount of blood) will be one of the things that increases. Your energy system (oxygen delivery, lactic acid tolerance, oxygen-debt management etc.) will also change (improve) with exercise - assuming you don't have an underlying medical condition of course. "Always consult your doctor" blah blah blah.
Did you have a specific concern? If so, you might try the Locker room (Dr Ryan would be a good start).