What is the Islamic Sunnah timeline to read Surah Al-Kahf on Friday?

Al-Imam Al-Manawi said:

“Al-Hafiz ibn Hajar said in his Amali: “In some reports, it says ‘the day of Jumu’ah’ and in some reports it says ‘the night of Jumu’ah’. They may be reconciled by saying that what is meant is the day which includes the night and vice versa.” (Fayd al-Qadir, 6/199)  

The night of Jumu’ah starts from sunset on Thursday, and the day of Jumu’ah ends at sunset. Therefore, the time for reading this surah extends from sunset on Thursday to sunset on Friday.