You can't become a *licensed* social worker with just *any* degree. You need a specific degree, typically a Bachelor of Social Work (BSW) or a Master of Social Work (MSW). A BSW often allows you to work as a social worker, but an MSW is generally required for advanced practice and many higher-paying or more specialized roles.
Some states may have different requirements, so you'll need to check the licensing board in your state or the state where you intend to practice. After obtaining the required degree, you'll also typically need to complete supervised fieldwork hours and pass a licensing exam.