The Old Town in Dubrovnik is just stunning. The buzz, the buildings, the restaurants, the harbour. Just excellent. If you don't like to be in crowded places though, it's not for you at all. The City was packed to the rafters, and this is coming towards the end of the season. I cannot imagine what it's like at the height of summer! Loads of little eateries, cafes etc. Well worth visiting to pass the time and watch the buzz around you. The litle harbour is lovely, as are all the main drawns of attention like the city walls. My advise would be to go up onto the city walls as early as you can (they open from 8) as they are quiet at this time and it's just magical.
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