It is a tradition for us at Sts. Peter & Paul Church to have the Exposition of the Blessed Sacrament after the Holy Thursday Liturgy until midnight so people can "sit and keep watch" as Jesus asked His apostles to do in the garden of Gethsemane.
Everyone is invited to participate in the Holy Hour during the Exposition of the Blessed Sacrament. Vigil starts immediately after the celebration of the Last Supper of the Lord until midnight.