The notifications Signal pops up, with contact name and message text, are generated from within the app itself, not sent via Google.
It does receive some Firebase messages from Google, but not the type that automatically pops up a notification. Instead these are silent ones that trigger the app to perform a particular action, such as fetching any new Signal messages from Signal's servers.
I suppose you're talking about push notifications to save battery life instead of an app that is constantly polling for new messages?
I don't think all notifications are push notifications, and those that are would be https encrypted between the host and client, so any e2ee message would have to be decrypted on device before showing a notification, google should not have access to this, but of course it comes back to whether you should trust anything software tells you.
Bigger issue is privacy with notifications going through Google, right?