From the official liturgical book “Holy Communion and the Worship of the Eucharist Outside of Mass”:
“ADORATION
95 . During the exposition there should be prayers, songs, and readings to direct the attention of the faithful to the worship of Christ the Lord.
To encourage a prayerful spirit, there should be readings from scripture with a homily or brief exhortations to develop a better understanding of the eucharistic mystery. It is also desirable for the people to respond to the word of God by singing and to spend some periods of time in religious silence.
96 . Part of the liturgy of the hours, especially the principal hours, may be celebrated before the blessed sacrament when there is a lengthy period of exposition. This liturgy extends the praise and thanksgiving offered to God in the eucharistic celebration to the several hours of the day; it directs the prayers of the Church to Christ and through him to the Father in the name of the whole world.
BENEDICTION
97 . Toward the end of the exposition the priest or deacon goes to the altar, genuflects and kneels. Then a hymn or other eucharist song is sung. [Footnote 11: See below, nos. 192-199.] Meanwhile the minister, while kneeling, incenses the sacrament if exposition has taken place with the monstrance.
98 . Afterward the minister rises and sings or says:
Let us pray.
After a brief period of silence, the minister continues:”
Several prayers are given.
“99. After the prayer the priest or deacon puts on the humeral veil, genuflects, and takes the monstrance of ciborium. He makes the sign of the cross over the people with the monstrance or ciborium, in silence.
REPOSITION
100 . After the blessing the priest or deacon who gave the blessing, or another priest or deacon, replaces the blessed sacrament in the tabernacle and genuflects. Meanwhile the people may sing or say an acclamation, and the minister then leaves.”
The rosary is permitted. The 2004 Instruction
Redemptionis Sacramentum at
http://www.vatican.va/roman_curia/c...0423_redemptionis-sacramentum_en.html#_ftn236 has:
“[137.] Exposition of the Most Holy Eucharist must always be carried out in accordance with the prescriptions of the liturgical books. [Footnote 235: Cf. Roman Ritual, Holy Communion and Worship of the Eucharist Outside Mass, nn. 82-100; Missale Romanum, Institutio Generalis, n. 317;
Code of Canon Law, can. 941 § 2.] Before the Most Holy Sacrament either reserved or exposed, the praying of the Rosary, which is admirable “in its simplicity and even its profundity”, is not to be excluded either. [Footnote 236: Pope John Paul II, Apostolic Letter,
Rosarium Virginis Mariae, diei 16 octobris 2002: AAS 95 (2003) pp. 5-36; here n. 2, p. 6.]”
[Excerpts from the English translation of
Holy Communion and the Worship of the Eucharist Outside of Mass, © 1974, International Commission on English in the Liturgy Corporation. All rights reserved.]