Postgres 14
... adds the predefined role pg_read_all_data to make this simple:
GRANT pg_read_all_data TO myuser;
The manual:
pg_read_all_data
Read all data (tables, views, sequences), as if having SELECT rights
on those objects, and USAGE rights on all schemas, even without
having it explicitly. This role does not have the role attribute
BYPASSRLS set. If RLS is being used, an administrator may wish to
set BYPASSRLS on roles which this role is GRANTed to.
For older versions
The privilege on DATABASE only grants general connection rights to the database and no more. A user with just that privilege can only see what the general public is allowed to see.
To grant read access to all tables, you also need privileges on all schemas and tables:
GRANT USAGE ON SCHEMA public TO myuser; -- more schemas?
GRANT SELECT ON ALL TABLES IN SCHEMA public TO myuser;
You may also want to set default privileges for future schemas and tables. Run for every role that creates objects in your db
ALTER DEFAULT PRIVILEGES FOR ROLE mycreating_user IN SCHEMA public
GRANT SELECT ON TABLES TO myuser;
But you really need to understand the whole concept first.
And it's almost always better to bundle privileges in group roles and then grant/revoke the group role to/from user roles. Related: