When you learn to ski you are in a group so I wouldn't worry too much about actually travelling in a group. I took my then 3 year old Son for my 1st ski trip, just him and I so in effect a beginners ski holiday on my own and it was fine.
I have been to this resort
Bad Hofgastein in Austria | Ski Resort Bad Gastein (skigastein.com) and it is a great resort for a beginner IMO.
This hotel is lovely
Bad Hofgastein Hotel | 4* Österreichischer Hof (oehof.at)
I personally wouldn't recommend learning in France plus the resorts tend to be built around the skiing so there is nothing to do in the evening on your own whereas in other Countries the ski resorts tended to evolve around a town so there are more facilities.
Andorra is a cheaper option and also a good place to learn