To see what objects are created and their values in NetBeans, you can run your code in the debugger. Here's a tutorial on adding a watch in NetBeans that teaches you how to view the type and value of variables.
To run a method of a class, I'd recommend setting up a unit test (see Testing and Code Analysis). It's a little bit more work to set up than BlueJ's facility for running methods on the fly, but it's worth it because you can easily run the same tests repeatedly and even automate testing.