The Apartment Dada may be the cleanest apartment we've ever rented: It was absolutely spotless and could have passed a drill sergeant's inspection. It was also quite comfortable for a month's stay, even in January. (The central heating worked well, and although the tile floors could feel chilly, the apartment as a whole was quite comfy. I do suspect that, in summer, you'd want to keep the bedroom door open to admit cool air from the large wall unit in the living room, however.)
Bed: Large, firm mattress, firm pillows.
Appliances: All worked perfectly. (I do suggest turning the refrigerator up to "5" if the previous occupant has set it lower. At that setting, the temperature will be optimum for food storage.) The washing machine was the best we've ever had in a European apartment: It's quite new, with a large-diameter drum that minimizes wrinkling of clothes. We used it on the "5" setting (lukewarm water--30 degrees C), and with an extractor setting of 1,000 RPM, our clothes came out barely moist. The clothes dried quickly, with hardly any wrinkles, on the supplied drying rack.
Wi-Fi: Speeds from the DSL router were serviceable but slow. If you're just using the Wi-Fi for Web browsing, e-mail and watching the occasional YouTube video, you'll be fine, but you probably wouldn't want to use it for vlogging or reviewing radiology files.
Kitchen storage: A bit limited, but we managed. (Mind you, we were staying for a month: If we'd been there just a few days, we wouldn't have wished for an extra cabinet or two.)
Utensils and dishware: Mostly fine for two people, although a larger Moka, a couple of wine glasses, and some sharp knives wouldn't have been amiss.
Safety: If you're clumsy like me, it may take a day or so to get used to the little well inside the front door that has a couple of steps with a curving cutout for the door. My wife cleverly moved the umbrella stand and umbrella to the top step, which gave me a visual point of reference so I wouldn't take any unplanned dives. (She also applied masking tape to the edges of the steps. It's nice to have a wife who understands her husband's failings.)
Shopping: It's only a couple of minutes on foot to the large Coop (pronounced "Cope") supermarket on Strada Nova. If you're headed in the direction of the railroad station, an even better option is the Despar in the former Teatro Italia, which has the best rolls in Venice (a city where good bread can be hard to find). And if you're in Venice for a while, be sure to check out the Conad and Prix in the northwestern reaches of Cannaregio. Conad is the most spacious and well-equipped supermarket in Venice, and Prix is a great place for shopping with thrifty locals.
Bottom line: We were happy in Alessandro's Dada Apartment, and we think you will be, too.