Immediately after the first scripture reading
The psalm for the Mass on Corpus Christi (Sunday, 2 June 2013) is Psalm 110, verses 1-4 in the new numbering (it would be psalm 109 in the Vulgate).
It is the opinion of this writer that if the non Catholic read that which was in accordance with Catholic doctrine I would see no reason for them to be refused. If one were to read that which was contrary to the Catholic creed then no. As this writer understands who would be allowed such an honor then it would be someone of some standing in the community.
It is the Mass for Christ, read in the Catholic church.
During a Catholic Mass, typically readings from the Old Testament, New Testament, and Psalms are read. The entire Bible is not read in one Mass, but a significant portion is covered over the course of the liturgical year.
Every Mass has a Liturgy of the Word that includes 3 readings from the Old and New Testaments as well as a psalm.
Every day of the week! At every Mass readings from the Epistles and Gospels is read.
In the Catholic church, an ambo is the podium or lectern from which the readings and gospel are read during Mass.
In a Catholic mass, the Old Testament may be read by a lector or a priest. The New Testament reading, if it isn't a Gospel, may be read by a lector or priest. The Gospel is read by a priest.
A mistake, there are only 150 psalms in the Bible.
The Responsorial Psalm is typically taken from the Book of Psalms in the Old Testament of the Bible. It is used in the Catholic Mass and other Christian liturgies as a response to the first reading, allowing the congregation to reflect on the message of the reading through a meditative and musical format. The specific psalm selected may vary according to the liturgical calendar or the theme of the service.
During the Catholic Mass, the priest does read the Gospel. He can, however, confer the ability to read the Gospel onto a deacon for that Mass. In common practice, though, only a priest should read the Gospel during the Mass; in private Bible groups or readings, it may be read aloud by anyone.
On all Sundays and Solemnities (Christmas, All Saints, Immaculate Conception, Assumption, etc.) there are three (well, four if you count the psalm), usually an Old Testament reading, a psalm, a New Testament reading, and the Gospel. Weekday Masses only have one reading, the psalm, and the Gospel, there is no second reading on a non-solemnity.