Comment by lmm

You don't want Java EE if you can possibly avoid it. If this is your first time doing web development you'll probably need something specific to the framework in use wherever you're interning (there are useful general things to learn, but you need to have a base of examples before you can start to make sense of the general principles). See if you can find out the specific framework they're using, and then look at their tutorials - or better still, start writing a webapp using it.