A lot of the European meteorological services are pretty commercialised - and it doesn't necessarily match up well with a country's political leanings - some of the most commercialised are in places like Sweden and Germany. It's slowly getting easier to get European info but it's still very poor compared to what's on line for Australia or North America.
There are a couple of international sites I often use to get data for places where the national sites aren't of much use -
www.ogimet.com and
www.weatheronline.co.uk. However, I've just looked at a number of Swedish locations on those sites (including Sundsvall) and found very few that report precipitation (there's some good temperature info though, especially on ogimet). My guess is that a lot of the Swedish observing sites are automated, and automatic stations are notoriously bad at measuring snow, even if the gauge is heated - I'm currently writing a paper comparing the readings from two sites (one automatic, one manual) at Falls Creek.
If you can wait until the end of the month, there are graphs of daily data for a number of sites around Sweden in the monthly report on the SHMI website. There's a decent news feed on the Norwegian Meteorological Institute's website too (I look at it quite regularly, and am slowly learning bits of Norwegian from it - although I still send the tricky bits to Cassie to translate), although it's obviously focused on Norway.