Union drywall jobs focus on construction and related services performed as part of a labor union. In this role, you may install drywall, construct a frame for a building, finish the interior of a structure, and participate in an apprenticeship as a member of your labor union. Despite the job title, most union workers do not work exclusively with drywall. Instead, you may perform a variety of construction tasks, including installing various other materials. Other details of the job may depend on the union and any negotiated agreements, including the hours you work each week and your specific responsibilities.