You'll be fine. After the first couple of weeks, it will just be another piece of the ride.

My old commute had a total of 700-800 vertical feet, with 2-3 "stingers" along the way, depending on the route. These were 100-175 foot sections of 13%-18% grade. I chose the steeper, shorter ones on days I felt strong, but typically chose the longer, steadier grades wherever possible.

In my present location (Calgary), the downtown core is on an old lake/riverbed and the rest of the city is located on small but steep banks/hills. Most of the individual sections are no more than 125-200', and some are quite steep. I am presently riding a singlespeed bike with the equivalent of a 42x17 combo with 700cx23 wheels. I've had no trouble with any of the hills, though the steep bits require an aggressive attitude and some leg strength.

If you have gears, you should have nothing more than a little cardiovascular/muscular adjustment, and it will quickly become routine.