He would deliver the two sermons while standing on the pulpit, for that was more effective in teaching and admonishing the people and displayed the strength and majesty of Islam. When he finished the first sermon, he sat briefly to rest and thereby distinguish it from the second, after which he would rise and give the second sermon.

Points derived from the ḥadith:
1- The two Friday sermons are obligatory before the prayer and constitute conditions for its validity. Al-Ḥalabī said, “It has never been reported that he ﷺ performed the prayer without a sermon; had it been permissible he would have done so at least once to show that it was allowed.” The majority of scholars therefore hold them to be obligatory.
2- It is recommended for the preacher to stand during both sermons, although the Shāfiʿī school considers standing obligatory for one who is able.
3- It is recommended to sit briefly between the two sermons to separate them. Some scholars regarded this sitting as obligatory, but the majority consider it a sunnah rather than a requirement.

Note:
Ibn Daqīq al-ʿĪd said: “I have not found this exact wording, which the author cites, in the two Ṣaḥīḥs (al-Bukhārī and Muslim).” Ibn Ḥajar stated in Fatḥ al-Bārī: “Al-Nasāʾī and al-Dāraquṭnī transmit on the same authority the wording, ‘He used to deliver two sermons while standing, separating them by sitting.’ The compiler of al-ʿUmda overlooked this and attributed that wording to the two Ṣaḥīḥs.” I, the author, say: This shows that the ḥadith is not found in that precise form in the two Ṣaḥīḥs; rather, it is recorded with a different wording in the report of Ibn ʿUmar: “The Messenger of Allah ﷺ used to preach on Friday standing; he would sit and then stand again, just as they do now.”

A second note:
Ibn al-Qayyim summarized the Prophet’s manner of preaching as follows: Whenever he ﷺ delivered a sermon his eyes would redden, his voice would rise, and his anger would intensify. He made the sermon concise so that the prayer could be lengthened, filled it with abundant remembrance of Allah, and chose succinct, comprehensive expressions. He taught his Companions the foundations of Islam, gestured with his forefinger when mentioning Allah or supplicating, ordered them to draw near and listen attentively, and forbade stepping over people’s necks. When Bilāl completed the call to prayer, he ﷺ would immediately begin the sermon.