I completed an internship with Target this summer. Although I was an external hire, I imagine the process will be the same for you.
I would partner with ETL-HR and let them know your intentions. Your ETL can likely give you the contact details for your field campus recruiter. After that, it's a fairly lengthy interview process before a final decision will be made.
My internship experience was extremely immersive and I would highly recommend it to anyone interested in a career in retail. I would be happy to share any details about my time spent with Target with you.
Best of luck to you!