Is it compulsory to learn about Data Structures if you want to be a Java/C++ programmer?

If you want some evidence for the importance of data structures, take a look at the Google hiring process. Whatever you think about Google as a company, there is no denying that they have some very good people working for them. Their interview process is setup to determine the candidates knowledge of data structures and algorithms. Because when it comes down to it, that is what is at the core of programming, no matter what language you are working in or what domain you are programming for.

If you are planning a career as a professional programmer, you need to know the fundamentals, not just how to crank out code that "works". Otherwise, your just playing.

I'd say it's compulsory at some point in your development to have a firm grasp. I'm not necessarily sure the standard Data Structures course is the best way to learn. Sometimes, the best way to learn them is "I have problem X. For some reason, it's taking my algorithm a long time to solve X. How can I make this faster?"

One book I'd highly recommend is Programming Pearls. It has some really good analyses, backed by a lot of examples of where the real-world motivations for the solutions came from. It presents the problems in an interesting manner, and never teaches by giving you a laundry list of data structures.

It should be, yes...