Under the new covenant, will anyone need to be taught God's Word or the law?
No. Under the new covenant, no one will need to be taught the Word of God, nor will anyone need to be told what the law commands. Every Israelite will have God's heart within them, being an obedient people of faith and believing, cleansed from all their iniquity and materially prosperous.
Les teaches that Jeremiah 31 describes the new covenant God will make with the house of Israel, and it will not be like the old covenant of law. Under that new covenant, no one will have to be taught the Word of God, and no one will have to be told what the law commands. Instead, every Israelite will have the heart of God within them, will be an obedient people of faith and believing, will be cleansed from all their iniquity, and will prosper materially. Les notes this fits Israel's Old Testament economy, where obedience brought material blessing, though that is not for us in the New Testament.