So as soon as you enlist and serve, you can apply for citizenship.
The executive order:
By the authority vested in me as President by the Constitution and the laws of the United States of America, including section 329 of the Immigration and Nationality Act (8 U.S.C. 1440) (the "Act"), and solely in order to provide expedited naturalization for aliens and noncitizen nationals serving in an active-duty status in the Armed Forces of the United States during the period of the war against terrorists of global reach, it is hereby ordered as follows:
For the purpose of determining qualification for the exception from the usual requirements for naturalization, I designate as a period in which the Armed Forces of the United States were engaged in armed conflict with a hostile foreign force the period beginning on September 11, 2001. Such period will be deemed to terminate on a date designated by future Executive Order. Those persons serving honorably in active-duty status in the Armed Forces of the United States, during the period beginning on September 11, 2001, and terminating on the date to be so designated, are eligible for naturalization in accordance with the statutory exception to the naturalization requirements, as provided in section 329 of the Act. Nothing contained in this order is intended to affect, nor does it affect, any other power, right, or obligation of the United States, its agencies, officers, employees, or any other person under Federal law or the law of nations.
So, basically, yup.