Find an open position
For you to qualify for a work permit later in the process, your potential job must be advertised on the EURES site. EURES is a job database run by the EU Public Employment Service.
On EURES you can search for jobs by profession or location and also post your CV. But there are also many job listings outside of EURES, so if you happen to find a job listed elsewhere you may try to ask the potential employer to post it on EURES as well, so that you can apply the correct way.
To the EURES database
You can also search for a job in one of Sweden's 21 counties by using the links below. They are all connected to the EURES databased sorted by region.
Illustration originally from Wikipedia