J2EE is designed with clustering in mind, so any designs that it supports are going to have to work with multiple JVM's. I take it from your question that you aren't concerned about a clustered environment, so a simple insertion into JNDI on your app server should do it. In Glassfish, that is called a lifecycle listener. After the startup even, insert your singleton into JNDI, and then have everything else do a JNDI lookup to find it.
Note that GlassFish could still mess you up here, in that it could serialize the class to JNDI causing you to get different instances. I doubt it actually does this within one JVM, but you won't know until you try it.
The real bottom line answer is that J2EE is hostile to a global true singleton, and the J2EE way around the problem is to rethink the solution. Something like a database to hold values or some other external service that can ensure that only one instance of the data (even if multiple instances of objects representing the data) exists is the J2EE way.