Maybe I am missing something, but I am not seeing a way to dig into a given database's structure without cumbersomely querying the pg_catalog. Noticeably absent are \dt and such vs running stuff like
SELECT n.nspname as "Schema", c.relname as "Name", CASE c.relkind WHEN 'r' THEN 'table' WHEN 'v' THEN 'view' WHEN 'i' THEN 'index' WHEN 'S' THEN 'sequence' WHEN 's' THEN 'special' WHEN 'f' THEN 'foreign table' END as "Type", pg_catalog.pg_get_userbyid(c.relowner) as "Owner" FROM pg_catalog.pg_class c LEFT JOIN pg_catalog.pg_namespace n ON n.oid = c.relnamespace WHERE c.relkind IN ('r','') AND n.nspname <> 'pg_catalog' AND n.nspname <> 'information_schema' AND n.nspname !~ '^pg_toast' AND pg_catalog.pg_table_is_visible(c.oid) ORDER BY 1,2;
Database Info from the menu seems to be similar to \d and a few others, but it's for the whole database and not a specific schema.
Still, I will keep playing with this and see how it goes.