Including unpublished manuscript with CV?

Should I attach my soon-to-be-published manuscript when submitting my CV?

I've just recently submitted my first paper to a scientific journal and want to apply for an internship at a certain institution. I'm pretty confident that my paper will be accepted but I know the review process is long. Should add it to my CV and write "under review" and attach the manuscript along with it? I feel as if them reading the manuscript will better my chances at my getting it.