You must possess the right skills to get an internship offer in the field of Data Science. First, acquire a good understanding of Statistics and Probability, Coding skills, and ML Basics, and then develop a good online portfolio and resume that showcases your practical experience like projects, case studies, and other research works that you have done. For upskilling yourself in Data Science I would suggest you go with Intellipaat Data Science Course. Once you grab the required skills for Data Science you can easily get an internship opportunity and even a job.
See this Python Data Science Course for more information :
One of our learners took Data Science with Python Course and got an internship offer. Check out this video to learn about his experiences to get a better understanding.