Add tangible value to the team/project you're on. Learn quickly and show how you're valuable and difficult to replace. Things like quantifying the number of tasks you finished, working part-time during school, will show them that you're an asset and worth hanging onto.
Don't just do your work, excel at your work! Ask questions and get invested, you will be working on projects that will help the company so they will care that you care. Another tip, do not be afraid or intimidated by your boss or coworkers; they are there to help and support you. The better forged your relationships are, the more likely they will put your name in the hat when the next job opens up. It isn't all about work and hard skills, you have to be someone people want to work with, as well. Good luck!