I have no plans for today, so after the lecture I will discuss it with my whole family.
「今日の予定はまだないので講義が終わったら家族皆で話し合う。」は英語で「I have no plans for today, so after the lecture I will discuss it with my whole family.」という表現が良いと思います。
今日の予定ーToday's schedule・Plans for today
講義ーLecture
終わったらーWhen finished
家族ーFamily
皆でーTogether・With everyone
話し合うーTo discuss