Upon checking in one is immediately struck by the decor that is perhaps best described as early 20th-century European opulence. Depending on your politics, that may be a selling point.
The first room I was given was on the 4th floor in a corner, and offered views of the piping, air conditioners, and dirty roofs. The second room I was given was on the 2nd floor directly above the Sanborns restaurant, so it was intolerably loud. The third room I was given was back on the 4th floor and it was quiet, but had almost no view. It also had a door that could open into the next room if both doors were unlocked; I could hear those guests when they were on the phone or had kids playing. Even so, I remained in this room, accepting that no room in this hotel is a "good" room. I recommend you ask to see the room you are offered before you get the key and a bellhop brings up your luggage.
Don't expect the rooms in any way to resemble the lobby. Rooms are fairly corporate in their furnishings and decor; in my mind, they're indistinguishable from a 15 year old Sheraton.
The hotel has a small work-out area. It has men's and women's saunas and steam rooms. It felt wonderful to sweat out the pollutants I'd breathed in all week.
I had one drink on the Phone Bar, a White Russian. Although Kahlua is a famous Mexican alcohol, and it was clearly sitting on the shelf, the bartender made the White Russian with a bottom-shelf coffee liqueur. I thought this was poor form for a hotel that prides itself on tradition and excellent service.
I'd stay here again if I had to be in the Zona Rosa and a room costs less than $85/night. Otherwise, I'd try a hotel with a rooftop pool that can offer views of the city. Or simply stay in the Centro Histórico.
In the end, the Hotel Geneve just seemed like a dowager with far too much makeup.