There's a lot of skiers in gothenburg, but no skiing except urbans, if there is any snow.
The guys that runs skistore.se (@ Skanstorget 6) skis a lot in the alps. There's usually quite cheap flights to the alps. A lot of good skiing in Norway on "Vestlandet", 6-10 hour drive from gothenburg (places like Röldal, Voss, Sogndal, Röldal hosts an FWT event, great place).
I currently live 1 hour up in the mountains from Voss and we've already had 3 snowfalls, unfortunately it got warm again and it's raining right now but there will be snow next week again.
I'll be moving back home to gothenburg in a month and work at skistore, come by and have a cup of coffe, talk some skiing and see what everybody is up to this winter :)