Michael Schoch, Noodle Intern
To learn the specific enrollment requirements for P.S. 152 Gwendoline N. Alleyne School I recommend calling the school directly at (718) 429-3141.
A lot of information about New York City pre-k programs is available on the NYC public schools site, including the fact that all children born in 2011 are eligible for free full-day pre-k programs. Unfortunately, the specific age requirements for each school aren't listed.
If this preschool doesn't meet your needs you can search for others by using the NYCEEC pre-k finder in the link above, or by searching through Noodle's directory of preschools.
Some useful information about finding the right preschool is also available on Noodle's topic pages.
Best of luck in your search and enjoy the rest of your summer!