Welcome
It all depends on the game you’re making.
Since you’re starting out, it’s probably safe to say that you won’t be making any really resource hungry games at first, so then any PC with java installed will usually do.
Things will change when you will use 3rd party libraries for hardware accellerated 3D (libraries like JME, LWJGL, JOGL), which usually require a videocard with OpenGL support, and then still things will also depend on what features of OpenGL you use (not all videocards support all OpenGL features).
What you also need to consider is the target version of java you’re aiming for (for example java 1.4 or higher will make things more likely to work than if you target java6 and up).
I suggest you just start with your game and have some people test. This is a good place to post your work and have people try it out.