I’m a Catholic school music teacher so I know a thing or two about Catholic liturgy. 😉
This is the order of a typical Mass setting, you likely won’t need all of it:
Gathering Hymn and/or processional (not a necessity as you will have processions, but we had one)
Gloria (depends on the Mass setting your church uses, some may not require it)
Psalm (in between readings)
Gospel Acclamation (again, will depend on the Mass setting — this is typically the Alleluia)
Offertory Hymn (preparation of gifts)
Acclamations (depends on setting)
Closing Hymn and/or Recessional
Of course you would have the vows, exchanging of rings, etc. in the middle there. We didn’t have the full Mass as my husband is Methodist, but I think the weddings I’ve been to with a full Mass, vows and ring exchange happened after the homily and before communion.
Be sure you read the lyrics of the hymns before you choose them. For example “On Eagle’s Wings” is great, however in my opinion it is more appropriate for a funeral than a wedding. I love the following, some that we used in our wedding:
You are Mine (I simply ADORE anything by David Haas — I actually saw him in concert in December…AMAZING!)
Seek Ye First
Ode to Joy (Joyful Joyful We Adore Thee — good for a recessional)
Make Me a Channel of Your Peace
Here I Am Lord
Be Thou My Vision
One Bread, One Body (Communion, obviously)
If you are looking for a vocal selection, say lighting of the unity candle, How Beautiful is gorgeous (https://www.youtube.com/watch?v=T281lL_6e44)…I think it would be pretty easy to find the music for it.
Hope that helps, let me know if you have any questions!