It would all depend on how much I won, but my priorities would be:
(1) Paying off my student loan debt
(2) Putting money into savings/investments/emergency fund
(3) Helping my younger sister with her college expenses
(4) Donating money to charity - most likely I would donate to the American Cancer Society, the Catholic Relief Services and a few local non-profits I am involved in
(5) Help my parents w/ paying off their house, and some difficult expenses they have right now
(6) Move out of my parents house, by purchasing a multi-unit property (both my home and an investment)
(7) Buy a car - my current one is 10 years old and had 250,000 miles on it!
(8) Travel to visit some long distance friends and relatives
(9) Finish my Master's Degree and get a professional job
(10) Follow the career path I'm interested in and passionate about without letting money be my obstacle.