Hey there. I must say that I have been to geneva only a couple of times and that was long ago. My experience with Suisse food is limited to the mountainous regions, and even there it has become difficult to find original Suisse cuisine, but once you do, you love it.
So, Where do I start with the great food you can eat in Switzerland? Unfortunately I havent' taken any pictures of the dishes we ate, will do it next time we go and will post some. They are gonna make you hungry just by looking at them :)
From the beginning as the wise man would say. (you don't necessarily have to love cheese, but if you do that is an advantage).
Let's start from the classics:
Croute au fromage. There are different options, with just fromage, or with ham and eggs, or with bacon, onions and tomatoes, etc. Depending on who cooks it, it may be a very simple (but very tasty) dish or a more elaborate one.
Fondue: same as above. There are many different versions, my favorite is the one 'Au tomate' which differs from the other because it is served with potatoes, not with bread. In general, the quality of the cheese used and the hand of who prepares the fondue makes all the difference.
Raclette: it is now pretty rare to find, but it is a great experience.
(for croute, raclette and fondue I suggest you look for the buvettes d'alpage, they are very simple but usually excellent).
For the canton I know, Valais, the Assiette valaisanne is always a good choice: different kinds of cheese and cured meats , plus cornichons and petites oignons, with some bread.
Rosti: a super classic from Switzerland, and a must try at least once. There different versions of rosti, too.
Salads: big, tasty, lovely to look at, the Suisse have their own 'localized' versions. They deserve to be tried.
French Fries: this, I think, is not a well known fact but in Switzerland you can find some amazing French Fries (of which I am a great fan).
Tartare: if you like raw meat (I don't).
Wurstels: I love those
Soups and potages are also very common and very good.
Last but not least, the boulangeries and patisseries. They are to die for.
I am attaching a few more pictures, not food-related :)