Why do you need to learn JavaEE6 if there is already JavaEE7.
Oracle tutorial on JavaEE7 is here.
JavaEE is huge and cumbersome as for me. As I know the most popular frameworks are Spring and Struts and hibernate.
But you will need to learn much more and learn and learn a lot new things. Coding is not primary skill in JavaEE.
Juniors in java are required to know what static,final,abstract means and when to use it . JavaEE won't give you that understanding!