No, it will be available across a wide range of registrars, similar to .app. You can see the full list of participating registrars for our existing TLDs here: https://www.registry.google/register-a-domain/
Correct me if I'm wrong, but registries can't let single registrars have exclusive access to TLDs. If Alphabet/Google were to do this it would be antitrust, and they could lose their dual registry/registrar status.