We stayed at Monique's apartment for about a week, in December. The best thing about Monique's place is the location. It's right on the Grassmarket, at the foot of Victoria street, which has good restaurants and local shopping. The Grassmarket itself had tons of pubs, some of which were family friendly (we traveled with a 1 year old).
The apartment was stocked well enough for us. We didn't cook anything more than oatmeal and eggs, so can't say much about the kitchen supplies. There was tons of tea, which we enjoyed! The bathroom had soap, shampoo, and body wash.
One thing to be aware of - the apartment was very drafty, and difficult to keep warm. We happened to go during a cold snap (below freezing temps every day), so that was a bit uncomfortable at times. But we loved staying in such an old, historic building.
Overall we really enjoyed the stay. Within a day, the place felt like home. We were sad to leave!