The Swedish Environmental Protection Agency’s website has everything you need to know about the right of public access, so get up to date before your bike trip.http://www.swedishepa.se/Enjoying-nature/The-Right-of-Public-Access/
This is permitted: https://www.swedishepa.se/Enjoying-nature/The-Right-of-Public-Access/This-is-permitted/
Video in English on the right of public access: https://www.youtube.com/watch?v=_q-KjnxQzXs
The right of public access in sign language: https://www.youtube.com/watch?v=zOc_HAumGnc