The benefit is that I can set classify the Breakpoint at the time of 
breakpoint creation itself. There could even be a natural classification 
associated with a breakpoint e.g. Line Breakpoint, Exception, Runtime 
Exception, Error, Class, JDK Breakpoints, Netbeans, Apache (based on package 
names) and so on...

The UI could look like:

[ ] Set Breakpoints Group Name [____________________] [V]

The use can check the checkbox to put it in a Breakpoints group. The editable 
combo box could select the natural classification as stated above. The 
combobox could have other Breakpoints Groups that user has already created. 
The user should be allowed to type a new Breakpoints group name.