Unfortunately, the only way to know for certain what elementary school your apartment is assigned to is to call your district's office. When you give them the address they'll be able to let you know what school your second grader will attend. Don't go just by which school is closest - zoning regulations can be a little crazy and it's very possible that you aren't assigned to the school closest to you.
Once you find out what school you'll be going to, Education.com has a great tool to help you learn more about it. Click the link below to check out SchoolFinder.