The key word is efficiency, keep it in mind. Check the numbers.
If you are a web programmer it may also be interesting to consider that now Chrome allows programming in C++.
You may even try to program something.
Also some C++ programming is going to provide you a valuable insight about how computers work and this will be useful for you and your career. It's good to have some knowledge about these low level details, and it could be worse, I mean, it's not assembler or Perl, as some people mentioned :)
But it can be as hard to read as Perl, you can also check some obfuscated code which shows some of the weird things possible in C, don't waste much time trying to understand it, though.
Or you can try to program something that is algorithmically complex, for instance a solution for the famous Hanoi towers. Try to use the Gray codification with binary operations on something that is not C ;)
C++ gives you the control and the power, so that you can use the computational resources you have to its best, with the greatest efficiency (except for C, FORTRAN and assembler). It does also give you a lot of ways to shoot yourself in the foot and the power to blow your leg with it.
Think of it as a challenge, as a weapon really powerful when mastered and at the same time fairly dangerous for the one holding it.