The breviary used by the FSSP, as well as the SSPX, is the 1962 Breviarium Romanum. The Sundays of the Year, except for First class solemnities, have only the three readings. In actual fact, the 1962 second reading is made up of the second and third readings of the earlier versions, and the 1962 third reading is the seventh reading, which is the Gospel snippet and first part of the commentary from one of the Fathers of the Church.
I hope this helps.
God bless.
Nelson