Google SSO only for keycloak users

Hello, I’m new to Keycloak and I would like to have some advice.

I’m using Google Gsuite with 400 users. I want to add only 30 users of those 400 in Keycloak and after they logged in to keycloak, they must be able to open an Google app like gmail or drive but without entering their google password again.

I’ve tried to add Keycloak as third party identity provider in Google admin but when I want to open gmail, it redirects me to Keycloak and ask me to login. My other 370 users don’t have an account in Keycloak

Is this possible with keycloak? Or are there any freelance programmers who can help me with that?