Gothenburg, for me, was the perfect place to start in Sweden and to get a sense of the Swedish culture. It's a fairly good size city with a large university, so there is plenty to see, great restaurants and food, and lots of culture.  I had the pleasure of exploring Gothenburg for 6 days, but you could definitely get a feel for the city, see the top sites, and grab a couple delicious Swedish meals in just a few days.