No. There is a Roman Missal on the altar and a Lectionary at the podium. See: http://www.usccb.org/bible/liturgy/
Yes, the lector reads from a lectionary, but there is also a bible, there. The bible is placed on the altar during mass.
Your statement is correct, but not complete. In addition to the Lectionary and the Missal there is always a "Book of Gospels" present that is proclaimed within the Liturgy of the Word.
Note that the Liturgy of the Mass predates the Bible. One of the driving forces to produce a Bible was the need for clarity in which readings were recognized as being acceptable for reading during the Mass.
Peace be with you.