REWRITE! As an EU/EEA citizen you have the right to work, study or live in Sweden without a residence permit. You also have the right to start and operate a private business. The right of EU/EEA citizens to stay in Sweden without a residence permit is called right of residence. You have right of residence if you are employed, self-employed, a student or have sufficient means to support yourself. If you have right of residence in Sweden you do not need to contact the Swedish Migration Agency.
When entering Sweden, you need a valid passport or ID card showing your citizenship.
You can move to Sweden without applying for any permit, but if you have family who are citizens of a country outside of the EU/EEA, they need to apply for a residence card. In order for your family to be granted residence cards you must be able to demonstrate that you meet the requirements for right of residence in Sweden through work, studies or with sufficient means.