Yes, /usr/lib/libc.dylib is libc. dylib is the Darwin extension for a dynamic library - it's akin to .so on linux/bsd. I'm not sure if you have to specifically link against it, it might be linked against by default but provided for compatibility (like libm.dylib is, so you don't have to go -lm hunting in makefiles).
You would just link against it by passing -lc to the linker, if you need to.