Presumably
The windows are for crew members who don't like Picard's taste in programmes to stare out of when he's watching the soaps.
( Lord Gnome, Wed 27 Aug 2008, 10:37, archived)

and if they're naughty,
he can press a button and eject them.
( Moon Girl Technologies horrendous beanbag, Wed 27 Aug 2008, 10:38, archived)

That might be difficult
Without depressurising the entire bridge. Possibly not a wise move.
( Lord Gnome, Wed 27 Aug 2008, 10:40, archived)