How To Apply For Work Permit In Sweden
The post title says it all and you can learn how to apply for work permit in Sweden from here

If you are planning to immigrate to Sweden with the aim of finding work, it is important to start the process as soon as you know that you have found a job offer. I’ll now show you how to apply for work permit in Sweden if you are not a citizen of EU/EEA.
When you apply for an extension of your work permit, the Migration Agency checks that the conditions for a work permit have been met during the periods of validity of each of your previous work permit periods. For the application to be complete, you need to submit documents that show that salary requirements have been met for all periods that you have held a work permit in Sweden. You must also state your insurance company and insurance number.