Train, plane, bus or car. The choices are many when you choose to travel to Åre!
There are airports in both Östersund (Åre Östersund Airport, Sweden), approx. 80 km from Åre, and in Trondheim (Vaernes, Norway) approx. 130 km from Åre.
If you would rather get some sleep, you can take the night train from Gothenburg. Fall asleep in rainy Gothenburg and wake up to a dazzling white paradise.
If you want to save your money for when you get here, there are cheap and comfortable buses that run from Stockholm.
Or you can get to Åre is by car. Easy and fast because of the fine roads.
In brief – all roads lead to Åre!
More info about airports, Airport transfer etc. here.