Organizations will require various materials to apply for an internship, which may include, but are not limited to: Resumé and cover letter. I got an offer from a company for a summer internship about a month ago.Since I hadn't heard back from anywhere else, I accepted the offer. Before you get started on sending out applications, make sure that you have your resume up to date and have fully filled out all your Handshake profile details. I am thrilled and honored to accept the offer to join your team. Maximize Your Internship. The document is an acceptance letter from a company for a student's internship. But, I just got another offer from a company (they were very late in getting back to me) that pays better, and is in a better location. The internship option is only available in the following programs:. Turn it down with absolute grace and gratitude.