Do we have design patterns in C++ as we have in java?

Design patterns are pretty much language agnostic, although they will fit into some programming paradigms and not others. In that regards, many patterns in Java will work very well with C++.

Meanwhile, C++'s rich (and twisted, some could say!) templating system allows for very interesting implementation of standards patterns, see for example Modern C++ Design from Alexandrescu and its very interesting policy-based design.