You might see if the parish has missals available. If not, at the very least they will usually have a hymnal that will have the order of Mass in the front. I also know that there are some phone apps (I have iMissal for Android) that will give you the order of Mass, as well as the readings.
Mass always begins with the introductory rites. There is an opening hymn, during which the priest and other extraordinary ministers process up to the altar. Father greets the congregation, they ask for forgiveness of their sins, and they sing the Gloria. (The Gloria is omitted during Advent and Lent.) This is followed by the opening prayer, which is unique to the day.
Next, Father sits down and the Liturgy of the Word begins. You will hear 3 readings from the Bible. The first is from the Old Testament, or, during the Easter season, the Acts of the Apostles. Then there is the responsorial psalm/canticle. Usually you can find the appropriate response in the hymnal. The cantor sings the verses of the psalm/canticle, and the congregation sings the response. This is followed by the second reading, from one of the epistles or Revelation. Then everyone stands for the Gospel acclamation, and remains standing during the reading of the Gospel by the priest. The readings run on a 3-year cycle, during which we read from the Gospel of Matthew in Year A, the Gospel of Mark in Year B (which we are in right now), and the Gospel of Luke in Year C. (The Gospel of John is reserved generally for specific feast days; also, some feast days of the Church, such as Holy Thursday, Good Friday, and Easter Vigil always have the same readings every year.) Following the Gospel, everyone is seated and the priest preaches a homily, explaining the Good News of Jesus to the congregation based on the readings from the day. Then we stand and profess the Creed - either the Apostles’ or the Nicene Creed. (These are in the missal/hymnal.) We remain standing for the general intercessions, or the prayers of the faithful, in which we pray for specific intentions.
The Liturgy of the Word is followed by the Liturgy of the Eucharist. Everyone sits down and there is a collection, followed by a specific family bringing up the altar breads, water, wine, and collection money. Father invites us to prayer, the prayer over the gifts being specific to the day. Then, he begins a dialogue with us to start the Eucharistic prayer. The preface is followed by the “Holy, Holy” (Sanctus), and then he moves into the main Eucharistic prayer. (Usually the preface is specific to the day/season. There are several different Eucharistic prayers Father can choose from - some are more general, some are for specific needs, such as for a Mass for children or for reconciliation.) He invokes the Holy Spirit and then speaks the words of Jesus at the Last Supper, to consecrate the bread and wine to the Body and Blood of Christ. (Note: Jesus does not literally die on the altar. Rather, He symbolically dies. At Mass we are at the foot of the cross. This is the unbloody version of the sacrifice of Calvary.) Usually we kneel during the consecration. Then we stand and sing the memorial acclamation. Father then prays the memorial prayer and asks God to bless the Pope, the Church, and the deceased, and asks for the prayers of the saints. Finally, he concludes with the doxology - “Through Him, with Him, in Him,…etc.” (This is always the same for every preface.) We sing the great Amen. Next, we move into the Communion Rite. We pray the Lord’s prayer, offer each other a greeting of peace, and prepare ourselves to receive Jesus. During Communion, you can stay in the pew. (Catholics do not have open Communion because those who are not Catholic are not in full Communion with the Church. However, those not receiving Communion are still encouraged to pray for unity.) There is usually a hymn during and just after Communion. Then, Father will pray the prayer after Communion (specific to the day). There may be some announcements.
Last is the concluding rite. Father blesses and dismisses the congregation, and he and the other extraordinary ministers process out, to the recessional hymn.