Is there a way to set a website like google.com as homepage through C++ or C ? How ?
Yes.
Find the way each browser saves its configuration to disk and edit that (*). It may be a file, or records in a database, or some data in a central registry, or some other scheme --- the browser documentation should tell you.
To open/read/write/save/close a file, the C functions declared in the header
may be helpful.
(*) for Firefox it's a file named "prefs.ini" in a directory somewhere under the users home path; there may be more than 1 such file if the user has more than 1 profile.