Personally, I’ve found the biking in Sweden to be very disappointing (I’m based in Stockholm).
The country, on the whole is flat. Very flat. So expect loads and loads and loads of forest single track, all looking and riding the exact same for 100’s of KM in either direction.
For the first few years it was different, so I enjoyed it. Now, it is just dull. I bought a road bike 2 years ago and spend more time on that now. There is only so much time you can spend in a flat pine forest with zero elevation.
In my opinion, the best bike for Sweden is a cyclocross bike. Forget about a Downhill bike.
For urban riding, the cyclist is well catered for; dedicated bike lanes everywhere, respect from motorists and bike parking facilities (covered) everywhere.
Unfortunately, for me the killer blow is the short season. You will be pretty much off your bike from November until April. Yes, you may get the odd, cold ride in but you are better off hitting the Turbo Trainer for 5 months (which again is very dull).
Sweden, is a nice country and has many benefits but, strangely enough, it is not a good biking country.
Caveat, if you like Snow, Ice and minus temperatures for 5 months of the year – come over and fill yer boots – You’ll love it!