West Point has been trying to go online with the application for a few years. It was supposed to be up last year but was not - hence the paper application. Admissions claims the application will be online this year - so it will all be new!
In the past you have had to wait for your candidate application kit which was mailed out in late summer. Don't worry, you will have plenty of time to complete it. This summer work on your total package: academic, leadership and athletics, including getting in shape for the CFA. Study for the SAT's and start your nomination applications - many of those require essays.
So, even without the application kit in hand there is still plenty to do!