Yes. Do an internship is very important. Since we spent so much time in the school, and what school can give us is limited. We need other way to learn something that we can not learn from school and in this case internship is an very good option. I get it when I worked in a lab in the NJMS as an Internship, I learned a lot besides knowledge, I learned how a lab runs, I learned the lab system.
And Also I think as a BME student, we should keep learning. Reading some Journals, news. Since we learn broad knowledge but we are not professional in any area. So pick one area which you really want to do and read more materials about this area.