how to find an internship with no experience

Internships typically don't require (or even expect) formal experience. Focus on your projects (both inside and outside of school) and your coursework. Having projects related to your field done on your own outside of school demonstrates a genuine interest in your field, which looks really good on a resume.

Really, experience and projects mostly matter for getting the interview. After you get the interview, what matters most is how you do in the interview, not what is on your resume.

Taking up an internship doesn’t require specific work experience. On the contrary, internship is a great opportunity to help you explore a particular industry you are interested in, see how it works, and learn about the business. Let’s say you enjoyed working on computer science projects in college – getting an internship in a software company will definitely open-up your eyes on how software engineer team develop programs for clients for instance. It also provides you with this broader view of how teams work cross-functionally to ensure a well cohesive and coherent software development. So basically you get to witness the importance of developing hard skills as well as soft skills and how these two play out in the work environment.
When you search and apply for an internship put forward the interest you have for the industry you are applying to, or the services a particular company you are interested in offers. If you have worked on projects in a specific area highlight those as well. Always give examples of how these relate to the internship you are applying to, it is a definite plus to see a candidate that have a clear vision and is open to explore various possibilities.

I would recommend talking to faculty and career development personnel at your school about what other students have done to get placed. Find out who from your school has been successful in securing an internship position and pick their brains about the same thing.

That is the beauty of an Internship, you are fresh and do not have bad habits or experience in the role you are looking to try for. Best is to apply for what you are interested and explain why you would like to intern. In the past I have hired interns that wanted to learn the healthcare business. We simply gave them tasks to research and uncover for the benefit of the company but also to teach them what is involved in being in the Healthcare industry, learning business development skills, utilizing in some cases their computer skills and research capabilities.