Hi Copland,
What you in fact get varies from parish to parish. Look up the phone number of the parish in their sunday bulletin or in the phone book. The parish secretary can tell you who to talk to, probably the DRE (director of religious education). They may find out where you are in your conversion or investigation process and then tell you to attend the classes. In my parish it is weekly classes on Sunday inbetween the masses for 1 hour. Classes run from Sept/Oct up to Easter Vigil (Saturday before Easter Sunday), and then a few weeks after that in a phase called mystogogy.
On Easter Vigil, those who want to are baptized, receive first Eucharist, and/or are confirmed. It depends on which sacraments you haven’t had yet.
The classes consist of lessons about history (father Abraham, Exodus from Egypt and other bible things), lessons about sacraments, lessons about who is Jesus, stuff like that. They have a discussion format, so you get to ask whatever questions you want, and there is an RCIA team of regular parishioners who go to the classes to set up, get coffee, answer questions, witness to faith, etc. (I do this).
At various intervals in the RCIA process, they have the parish pray for you or you go to the cathedral to be prayed over. These prayer services are called things like the Rite of Sending or the Rite of Election, etc.
Your goal in the process of attending RCIA is to get your questions answered, find out info about the Church and about Jesus and Prayer and other topics, to discern (figure out by praying about it) if you are being called by God to join the Church at this time or not, and to become closer to Christ through prayer and study of bible and other materials. It is a journey or a process.
If you don’t know any Catholics to be your resource to call on the phone with your impromtu questions, the parish will assign a Catholic to you. They are called your sponsor and they stand up with you on Easter Vigil when you get confirmed or whatnot. They are sort of like what you might know as a godparent, except it is different for an adult, of course.
Oh, also in my parish the RCIA people who are not yet baptized, for example, go to part of the Sunday mass, and then they leave after the homily and gospel to discuss the gospel together in a group. This is in addition to the 1 hour meetings. So they are trying to get you to think about the gospel and to learn to think about the bible and to pray with the Holy Spirit, stuff like that.
Best of Luck finding a program for you. The Holy Spirit watch over you!