As a family member of an EU/EEA citizen exercising their right of free movement in accordance with Directive 2004/38/EC, you can get a visa through a facilitated process to travel with your family member or to join him/her in Sweden.
PLEASE NOTE that Swedish citizens living in Sweden are not exercising EU treaty rights and they do therefore not hold a right of residence based on Directive 2004/38/EC in their home country, unless they have recently moved back to Sweden from another EU/EEA country where they were exercising their right of free movement.
Basic facts
You can at VFS Global apply for a free of charge short-stay Schengen visa (type C) which will permit you to enter Sweden and the Schengen area.
If your aim is to settle down in Sweden, you must apply for a residence card for a family member of an EU/EEA citizen within three months from entering Sweden. Information about how to apply for a residence card can be found on the Swedish Migration Agency's webpage.
More information
Directive 2004/38/EC