In our organization this would also be super useful! We would like to have the Bitwarden Directory Connector Web GUI integrated in the Bitwarden System Administrator Portal, so it is easier for setup and tracking by admins.
Frustration with the Bitwarden Directory Connector. It often seems like an after thought solution and is often troublesome. Being unable to run the connector without being logged on, requires a complicated schedule task and a service account in a Windows environment. If you could run the connector as a service, it may be less problematic. However, the reliance on a physical environment when using both a cloud based IdP and credential vault seems like an unnecessary complication. We use roughly a dozen different products that connect directly to Azure AD for their directory synchronization without the need for a proxy solution similar to those above.
Currently I do not believe that Google Workspace (formally G-Suite) has support for SCIM, though depending on your plan you may have access to Google Workspace LDAP cloud directory.
If you have a supported plan, you should be able to add this to allow for user provisioning.
Otherwise you can follow the guide below from Bitwarden to sync with your Google Workspace.
You can also use Google Workspace as an SSO provider for a single-sign on experience. Here are some additional resources for that.