We enjoyed our month-long stay at Benedetta's place!
The apartment is in a good location if you want to explore Florence's most popular destinations and more importantly if you want to explore the "oltrarno" which is the more local's side of Florence. The Boboli Gardens are quite literally steps from the door of the apartment. There are a couple of smaller grocery stores that have the essentials nearby but don't expect a huge supermarket unless you want to drive further outside the city. The neighborhood overall is quiet and peaceful, and the view from the windows is beautiful gardens -- unfortunately, they are private gardens so you can't explore them. Lastly, if you aren't up for a lot of walking it's ok because there are buses and public transportation to take you around Florence right outside the apartment.
As for the apartment, it works well for short and long stays. It's well equipped and spacious! The apartment isn't the most modern and could use some updates but that's to be expected in this part of Florence. Plus, for this price point, you won't find a really modern place in this part of Florence. You'd expect to pay $100-125 a night for a little bit more modern place. This is a good value!
When we were there in August, the mosquitos were kind of bad so we had to keep the windows closed most of the time -- bringing in more fresh air would have been nice but the mosquitos come with that. Not sure how they are other months out of the year.
Benedetta is responsive and helpful if you need her but will otherwise give you your space.