The last time me and my girlfriend went to visit my family on the Swedish westcoast, we forced my mother to come pick us up att Landvetter airport so we could have a quick visit in the wonderful city of Gothenburg (Göteborg). Even though it was a bit cold and a little bit windy (as always ;D) we really enjoyed the visit. This time we spent time at the Röhsska museum (http://rohsska.se/en/) which I really recomend you to visit and of course we also spent time in the newly renovated Cathedral of Gothenburg on Kyrkoplan (http://en.wikipedia.org/wiki/Gothenburg_Cathedral)