While it's true that C++ was designed to maintain a large degree of compatibility with C and a subset of what you learn in C++ will apply to C the mindset is completely different. Programming C++ with Boost or STL is a very different experience than programming in C.
There was a term of art called using C++ as a better C. This meant using some C++ language features and tools to make C programming easier (e.g., declaring the index variable of a for loop within the for statement). But now, modern C++ development seems very different from C other than a great deal of the syntax and in those cases the C legacy often seems to be a burden rather than a benefit.
