It does not; you can use code released under GPLv3 to develop any kind of DRM technology you like. However, if you do this, section 3 says that the system will not count as an effective technological “protection” measure, which means that if someone breaks the DRM, he will be free to distribute his software too, unhindered by the DMCA and similar laws.
As usual, the GNU GPL does not restrict what people do in software, it just stops them from restricting others.
"
https://www.gnu.org/licenses/gpl-faq.html#DRMProhibited
" Does GPLv3 prohibit DRM?