The second is the standard C header that contains some functions declarations for character arrays. In C++ this header is specified as <cstring>.
The first header is a C++ header containing the definition of template class std::basic_string.
Both are header files. Files that you have access to. It is possible, although daunting, to look at them. One peek would already answer the "is there a difference". Since answer is "yes", the above posts have explained "how they differ".