You can overcome procrastination by identifying why you do it. Is the task dull? Do you lack information or resources? Or is there some other cause? Once you understand why you put things off, you can take steps to fix the problem.
Next, practice good time management, so that you make time for what’s important. Use tools such as Eisenhower's Urgent/Important Principle or Action Programs to manage your time more efficiently. You can find it here.
In the People Skills Primer, you'll get a crash course on how you can take charge of your internship or your new job. Here's the different aspects you'll get to know more about in the coming chapters.