Like several have said, the lower weight of a road bike, plus the wide range of available cassettes should allow you to tackle just about any hill. Note also that the bike will probably have thinner, higher pressure tires which SHOULD provide an easier ride if the roads are smooth. Another thing you should work on is getting your cadence up and pedaling in circles. Many (or most?) riders new to road tend to "mash" at a low cadence rather than spin at a higher cadence. That really helps the joints.