No, IELTS or any formal language test is not required to obtain a Sweden residence permit for work or family purposes. The Swedish Migration Agency focuses on your employment contract, financial ability, or family relationship rather than language skills. However, if you are applying for a student residence permit, you must meet the language requirements set by your university or educational institution. In most cases, Swedish universities require proof of English proficiency, and tests like IELTS or TOEFL are commonly accepted. Therefore, while not a government requirement for the residence permit itself, it may be needed for study admission.