We were met by Nicholo who gave us invaluable information about the area and best areas to see to get the most out of our stay. The apartment is located in an excellent position, five minutes walk to the Uffizi and many other museums. The bridge itself is of course a tourist mecca with many shops and cafés nearby. We also enjoyed listening to a street performers nearby. The apartment itself is very clean and spacious.
The only negatives would be is that the bed was too firm for my liking. Also, the bathroom is small. However, as you are in an historic building, that is not unexpected.
We loved being on the Ponte Vecchio and would highly recommend this apartment. It is four flights up so think twice if you don't like steps.