My girifriend and I stayed in Monicas apt. for 4 nights and we really enjoyed it. It was as expected - nothing more - nothing less.
It is very basic with one major highlight which is the roof terrace which we really enjoyed although some sort of shade would have been appreciated. Also we missed a sunchair, which was in one of the photos or maybe even two. You walk straight onto the terrace from the kitchen or from the bedroom. Only you have access to the terrace.
By the way - you turn on the AC just above the stove.... took us a day or two before we found out :-)
All in all, we can recommend staying in Monicas flat for seeing all of Bari and for easy access to the railway station (Bari Centrale). It is very easy to grap a train from the airport to Bari Centrale (5,10€) and then on foot 15min to the flat.