When you apply for a job or internship, employers will want to see code you've written so that they know what you're capable of doing. Spend some time getting your GitHub profile looking good.
First, make private any repo that doesn't look great and that you don't want to spruce up. Don't make too many of your repositories private, as employers value being able to see the amount of work that you've done.
Next, pin a couple of your best projects to the "pinned repositories" section, so employers can more easily view the work you'd like them to see.
For every public repo, make sure it has a README file that:
Go through all files in each repository and make sure that there aren't large sections of commented-out code, bad indentation, extra line breaks, or anything else that looks less than professional.
At the end of your internship, if your host is okay with it, fork the code you've been working on, so that you have a copy of it on your profile for employers to see.
You might want to read this article on the importance of your GitHub profile to employers: Github is your resume now.