The liturgical calendar is which feasts/solemnities/memorials fall on which dates - and those don’t change with the years. Christmas is always on Dec. 25th, Feast of Mary, Mother of God on Jan. 1st, Easter on the Sunday following the full moon that falls on or after the vernal equinox, etc. The liturgical calendar doesn’t change from year to year except for moveable feasts like Easter, Pentecost, Ascension, etc.
What you are talking about is the Lectionary cycle of readings: Years A, B, C for the readings of Sundays, Feasts and Solemnities and Lectionaries I or II for weekday readings.
To answer your original question, there is a different liturgical calendar AND a different cycle of readings for the Extraordinary Form. You get a lot less of the Old Testament in the EF and some feasts fall on different days, though not those which are Holy Days of Obligation.