I''ve been pondering lately on writing a graphical Java program that will use GL4Java (openGL binding for java) that is licensed under the GNU Library General Public License (LGPL). I''m not too sure about this (hence this question): will I have to relese my code, if I will simply use and not modify the GL4Java bindings?

actually its Lesser not Library

but no, as long as you do not make any changes to the LGPL-ed library you are planning on using, you dont have to release any source code to your project.

if you make any changes to the LGPL-ed library, and distribute something based on this library, such as a game, then you are required to make the changes you made to the library open source under the lgpl or compatable license (but this only applies to your alterations to the library itself)