One of the best things to do is visiting the Casino, the most memorable moment for me is the Palace. I was surprised at how big it was, and the fact that you can rent apartments at the palace.
Quick Tips: Remember that the euro is stronger than the dollar and 1000 dollars is roughly 770 euros. My fiance and I found that out the hard way.
Best Way To Get Around: The best way that we found to get around was by foot. They have a great bus system but the country is so small you can get to a lot of places on foot.