The GNU Standard C++ Library (also called the "GNU ANSI C++ Library" in places in the code) is not libg++, though it is included in the libg++ distribution. Rather, it contains classes and functions required by the ANSI/ISO standard. The copyright conditions are the same as those for for the iostreams classes; the LGPL is not used (See section What are the rules for shipping code built with g++ and libg++?).
This library, libstdc++, is in the libg++ distribution in versions 2.6.2 and later. It requires at least gcc 2.6.3 to build the libg++-2.6.2 version; use at least gcc 2.7.0 to build the libg++ 2.7.0 version. It contains a hacked-up version of HP's implementation of the Standard Template Library (see See section Does g++ support the Standard Template Library?). I've successfully used this Standard Template Library version to build a number of the demos you'll see on various web pages.
As of version 2.7.0, the streams classes are now in libstdc++ instead of libg++, and libiostream is being phased out (don't use it). The g++ program searches this library.