Everyone's right & camping
In Sweden, as in Norway, everyone's law (schw. Allemansrätten) applies. This is not written law, but customary law. It regulates how you are allowed to behave and spend time in the great outdoors. Above all, it is associated with freedoms: For example, you are allowed to hike and cycle almost anywhere in nature. Wild camping is also permitted for one night, as long as you do not pitch your tent on private land, public green spaces or agricultural land.
However, you should adhere to certain rules. The basic rule is: “Do not disturb and do not destroy”. You should therefore pitch your tent out of sight of residential buildings. You should always take your garbage with you and dispose of it properly. And in general, no damage should be done to nature. Also note that you are not allowed to explore the great outdoors in a motorized vehicle. Therefore, overnight stays in a car or motorhome are only permitted on the roadside or in a parking lot for a maximum of 24 hours.
If you prefer to pitch your tent on a campsite, you can find some campsites at camping.se. I can also recommend the Park4Night app.