The OP did not specify that this was at Mass.
The Gospel may be read at a communion service by a lay reader. It may also be read during the LOTH by a lay reader, after the Vigil canticle when the Office of Readings is being used as a Vigil on Sundays, feasts and solemnities; and of course the Benedictus, Magnificat, and Nunc Dimittis canticles recited at Lauds, Vespers and Compline respectively, are gospel readings. They are intended to be recited by whomever is participating in the LOTH, either communally or privately, regardless of whether a priest or deacon is present.
It is proclaimed during Mass if a deacon, priest or bishop is present. The ordinary minister for the Gospel at Mass is the deacon. When no deacon is present, a priest, or a bishop, fulfills the role of the deacon during the proclamation of the gospel (once a deacon, always a deacon, even after being ordained priest or bishop).