We actually did not get to stay in this apartment and Alex offered this one to us instead:
https://www.airbnb.com.au/rooms/964548
While I was on the plane down to Melbourne from Sydney, Alex tried to call me to tell us that the apartment had water issues (the washing machine pipes had blown up), so when I got off the plane, contacted Alex straight away, who was accommodating and organised to meet us at the other apartment instead(located at 1 Queens Road, Melbourne, not in South Yarra area).
Alex met us at the carpark entrance and we were taken up glass elevators to the penthouse apartment. The penthouse is actually just one storey, with a private rooftop BBQ area, accessed via the spiral staircase in the 2nd bedroom enclave. The double bed in the main bedroom was comfortable but the 3 single beds (one in the main bedroom, and 2 in the bedroom enclave) were a bit too soft.
Alex had told us that if the other apartment was ready by the next day, we were welcome to move there, but alas, the water problem was not rectified and we did not move apartments (since we were only staying for two nights). We would have liked to have 2 bedrooms, as the 2nd bedroom in this apartment was more a "nook" with sliding screens. Also, the wifi was really weak even if we were near the router. Alex provided a new toaster and kettle.
Overall, the view from the rooftop was great and it was in a convenient location near the CBD and South Yarra area.