Yes, you can work in Sweden with a residence permit if it is granted for employment or self-employment. Work permits specify the employer, role, and location, so you must apply to update your permit if you change jobs or positions. Students with a valid study residence permit are also allowed to work in Sweden without formal restrictions, but studying must remain their primary purpose. Family reunification residence permits usually include work rights as well, meaning dependents can work while living in Sweden, provided their permits are valid. Always check your decision letter for specific conditions.