Since grants are per object you need to query permissions of all objects. Here you can see the relacl that lists permissions and the grant statement generated to grant those permissions:
select relacl ,
'grant ' || substring(
case when charindex('r',split_part(split_part(array_to_string(relacl, '|'),pu.groname,2 ) ,'/',1)) > 0 then ',select ' else '' end
||case when charindex('w',split_part(split_part(array_to_string(relacl, '|'),pu.groname,2 ) ,'/',1)) > 0 then ',update ' else '' end
||case when charindex('a',split_part(split_part(array_to_string(relacl, '|'),pu.groname,2 ) ,'/',1)) > 0 then ',insert ' else '' end
||case when charindex('d',split_part(split_part(array_to_string(relacl, '|'),pu.groname,2 ) ,'/',1)) > 0 then ',delete ' else '' end
||case when charindex('R',split_part(split_part(array_to_string(relacl, '|'),pu.groname,2 ) ,'/',1)) > 0 then ',rule ' else '' end
||case when charindex('x',split_part(split_part(array_to_string(relacl, '|'),pu.groname,2 ) ,'/',1)) > 0 then ',references ' else '' end
||case when charindex('t',split_part(split_part(array_to_string(relacl, '|'),pu.groname,2 ) ,'/',1)) > 0 then ',trigger ' else '' end
||case when charindex('X',split_part(split_part(array_to_string(relacl, '|'),pu.groname,2 ) ,'/',1)) > 0 then ',execute ' else '' end
||case when charindex('U',split_part(split_part(array_to_string(relacl, '|'),pu.groname,2 ) ,'/',1)) > 0 then ',usage ' else '' end
||case when charindex('C',split_part(split_part(array_to_string(relacl, '|'),pu.groname,2 ) ,'/',1)) > 0 then ',create ' else '' end
||case when charindex('T',split_part(split_part(array_to_string(relacl, '|'),pu.groname,2 ) ,'/',1)) > 0 then ',temporary ' else '' end
, 2,10000)
|| ' on '||namespace||'.'||item ||' to "'||pu.groname||'";' as grantsql
from
(SELECT
use.usename as subject,
nsp.nspname as namespace,
c.relname as item,
c.relkind as type,
use2.usename as owner,
c.relacl
FROM
pg_user use
cross join pg_class c
left join pg_namespace nsp on (c.relnamespace = nsp.oid)
left join pg_user use2 on (c.relowner = use2.usesysid)
WHERE
c.relowner = use.usesysid
and nsp.nspname NOT IN ('pg_catalog', 'pg_toast', 'information_schema')
ORDER BY
subject, namespace, item
) join pg_group pu on array_to_string(relacl, '|') like '%'||pu.groname||'%'
where relacl is not null
and pu.groname='group1'
order by 2