According to the IL State Board of Education, home-schooling in IL is considered to be a form of private education. For more information, please see http://www.isbe.net/homeschool/
If you are a home-school graduate, to gain admission to the University of Aesthetics & Cosmetology, you will need to provide an official transcript of secondary school completion, or a state certification of home-school.
Remember, financial aid is available to those who qualify.
A good resource for information related to home-school graduates may be found http://www.hslda.org/highschool/college.asp#admissions