The Gospel for the Third Sunday after Easter is St John 16:16-22.
The Benedictine 1962 Office this week in summary
Sunday May 11 - Third Sunday after Easter, Class II; Commemoration of SS Philip and James
Monday May 12 - Class IV; SS Nereus, Archilleus and Pancras, memorial [EF: and Domitilla]
Tuesday May 13 – Class IV; St Robert Bellarmine, memorial
Wednesday May 14 – Class IV; St Pachomius, memorial [EF: Commemoration of St Boniface]
Thursday May 15 – Class IV [EF: St John Baptist de la Salle]
Friday May 16 – Class IV [EF: St Ubald]
Saturday May 17 – Saturday of Our Lady (Sat 3 of May) [EF: St Paschal Baylon]
And if you are just getting started, you might also want to take a look at the daily cheat (reference) sheets for the hours - you can find the link in the right-hand side bar, or go straight to Sunday's.
Note that we are currently in the season of Eastertide which results in fewer antiphons than usual (mostly Alleluias!) and proper hymns and so forth for the season at Lauds and Vespers.