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Is there a Fortran standard library (I keep hearing about something called ISO_C_BINDING, but I haven’t seen anything documentation for it), and if so where is the documentation (something like http://docs.python.org/ or https://www.gnu.org/software/libc/manual/ would be helpful) ?
The Fortran standard specifies a set of “intrinsic” subroutines, which I suppose are akin to the C standard library. It’s quite limited in scope, though.
Many Fortran compilers also support intrinsics beyond the ones specified by the standard. For a list of the supported intrinsics, see your compiler manual, such as Chapter 8 in the GFortran manual.