Because you posted this question in the Writers Stack Exchange, and the company promotes/recommends activities, it seems likely that the internship involves writing. As an intern, you will shine if you accomplish the following:
- Take the initiative to research information, solve problems, and find answers to questions.
- Listen well to instructions, and complete work that supports the team's goals.
- Understand and communicate well with others.
That said, it is very common for interns to do tedious but necessary tasks. Do not feel put down by this. Take it as an opportunity to learn about the inside workings of an organization. Talk to employees over lunch. Ask questions. If the opportunity to do something exciting or challenging comes up, accept.