In my experience, Greek tradition is to read (not intone or sing) those verses, and at least the first 2/3 of the Psalm. Only on the feastday of the Church, or an all-night Vigil, is the last 1/3 of the Psalm chanted melodiously (IOW not quickly), beginning with "When you open your hand, they are filled with good things."
Also, since P-bob brought it up, Greek tradition only censes at the beginning of vespers when it is part of a vigil; however, the censing takes place at the singing of the hymn "I shall enter your house," which is added for vigils only and occurs before the verses and reading of the Psalm. The deacon with lit candle accompanies the priest as they cense beginning outside of the sanctuary. The service begins at the end of the hymn when they have finished censing with the words "Glory to the Holy, Consubstantial, Life-giving..." instead of "Blessed is our God."