The photos definitely inflate the quality of the hotel. It's a modest hotel in reality. The breakfast is limited and if something runs out, they don't replace it; you will just not be able to have any of it. The pool, although tiny, is very clean and was mostly empty when I was there so it was practically private! The water was also nice and warm, it was a great way to relax.
The hotel states that it has a "private beach", but this isn't true. There is access to Bilem Beach a few minutes walk down the road, but it costs 600 Lira to enter. It is a nice decked beach with access to a private part of the sea, but it's not exclusive to Wise Hotel.
There are a few restaurants nearby and a couple of small markets. If you're looking for something a bit busier, the Old Town Kaleici is probably better placed.