Just for clarification purposes, the Church does not celebrate Mass on Good Friday. The service, instead, centers on the Liturgy of the Word, the Veneration of the Cross and the Reception of Holy Communion.
You couldn’t have picked a better time of the year to start attending Daily Mass than now. The readings for these next two weeks are beautiful. The Old Testament weekday readings for Holy Week (Holy Monday, Holy Tuesday and Holy Wednesday) center around Isaiah’s prophecies of the Suffering Servant. The Paschal Triduum, which begins on Holy Thursday (the Evening Mass of the Lord’s Supper), the aforementioned Good Friday and the Easter Vigil Mass (on Saturday night) forms one complete liturgy.
Daily Mass is also a tad bit quieter than Sunday Mass. In most parishes, instead of having enrance and communion hymns, you have antiphons, which the priest and people recite.
As Phemie noted, there’s only one reading. During Advent and Lent, you hear the Old Testament; during the Easter Season (which lasts 50 days), you’ll hear the Acts of the Apostles as the first reading. During the Christmas season, which extends from December 24th (evening Vigil) all the way to the Solemnity of the Baptism of the Lord, you’ll hear one of the Johnanine Letters (from St. John) as the First Reading. During Ordinary Time, you’ll hear a mixture of the Old Testament and the Epistles as the first reading.
During Holy Days of Obligation and Solemnities, the Gloria will be chanted/recited and we will pray the Creed. You will also hear an additional reading, as the Epistle will be proclaimed (it’s the second reading during Sunday Mass). You’ll also sing hymns.