Do as the locals and get a trangia (the 25 is more versatile). Expect 1-2 liters of fuel (any hardware store or petrol station in Sweden will have it). As long as you do not refill a hot or burning burner unit you are fine with them.
As to food: I'd suggest try for your normal food, but keeping the cooking times in mind (the Trangia will not simmer things for 90 minutes...). You can cook stews, risottos, fish (tip: if you buy the frozen "serving size pieces" of salmon you can poach them by putting them, still in the plastic and barely thawed, into hot water and keeping them hot for 30 minutes, e.g. while the potatoes boil you use that pot as a lid), etc. Whip up a aioli to go with it. You could do bannocks (try the local version called kolbulle: equal parts water and flour, some salt, allow to stand for a few hours, fry diced pork in a bit of extra oil, add batter once the pork is done, turn. makes a typical fry-up look like health food...). Spagetti carbonara is quite doable on a trangia, an french omelette as well. Beef stroganoff is also easy and good. Buy fresh herring filets, dip in flour with pepper (or be adventurous) and fry in plenty of butter. You *can* do a lasanga on a trangia, if you know the tricks, but that is not for beginners.
There is some ready made stuff you may -- or may not -- want to try. Some makes of blackpudding (blodpudding) is quite good, other are boring, "kroppkakor" is nice, you can make them yourself or buy ready made: it is a "dumpling" with pork and onions inside a mashed potato and flour covering, the ready made ones just need heading in boiling water. "Pölsa" is basically haggis, but with barley instead if oats and mostly pork meat. Again, some brands have no purpose beyond being better than no food, others are quite enjoyable (yes it is goop, but if done rigth it is tasty goop). Porridge comes in many versions, not just oats. If you like strange milk products try "långfil", which is a sour milk product -- like yoghurt -- but with a bit more elasticity than most. Eat it with broken up crisp bread or muesi. Try the pickled herring, there are a number of different styles. Take this as an oppourtunity to learn to cook real food, and try the different things.
As to different things: surströmming. I offered you may or may not want to try it. Google with give you plenty of opinions... No one will be surprised if you decline, but perhaps impressed if you partake. If in August there may also be crayfish on offer. Not bad. Both *could* earn you brag point at home.