Gruyère City is a charming small medieval town in Switzerland, approximately 2 hours drive from Annecy. It is a nice drive along lake Leman first then in the Swiss country side.
The Gruyère Museum is at the bottom of the village.
We stayed one night there, it was lovely to leave the car at the bottom of the village and just stroll along the streets.
For more information regarding the area https://www.fribourgregion.ch/en/la-gruyere/gruyeres/
Near by, you can also visit the Cailler chocolate factory (very interesting and modern museum with free tasting at the end of the visit) and also the Gruyère Cheese factory.
It can be a nice trip if you are staying in the Alps for a few days, Taxi Massingy will be happy to drive you from Annecy to Gruyère City for a day tour https://www.taxi-massingy.com/en/taxi-annecy-geneve/
above the cheese fondue and below the meringues