Hi Alan.
If you want to do an internship related to Product Management then you need to have the relevant skills so that you're able to fulfill the roles and responsibilities of the internship.
Check out the roles and responsibilities that you're expected to perform and if you aren't familiar with any role then learn it before proceeding to apply for the internship.
If you have the relevant skills then you can proceed and apply for the internship in any of your desired organizations like Lenskart on Product Management.
To enhance your skill-sets in Product Management you can do some courses, here's the link for the same https://seekho.ai/courses/all-about-product-management/CT-131-28633