the vigil begins with lighting the Pachal flame, procession, where we invoke Christ our Light, readings (there may be as many as 9, but at least 3 OT readings on high points of salvation history) and homily, blessing of the baptismal water, rite of baptism, actual logistics at this time depend on the number of elect and candidates, layout of church, but in general while the newly baptized are getting dressed, those to be confirmed make profession of faith, (newly baptized have done this in the rite), baptized receive candle, all are confirmed. then Mass proceeds as usual, and all the newly received receive first communion, usually before the rest of the congregation.
actual rite of Confirmation consists of invocation of the Holy Spirit, laying on of hands, and anointing with Holy Chrism oil.
you will no doubt have some kind of “rehearsal” or at least a walk-through sometime during Holy Week, so you know what to wear, where to sit and stand, when to come forward, what to respond etc.
in RCIA we tend to take it as it comes, and prepare you for one thing at a time, since to go over in great detail before the event can be confusing and overwhelming, we are not trying to be secretive simply using good teaching methods.
if you are already baptized you will also be prepared for and make your first Confession sometime before your confirmation. If you feel ready now and don’t want to wait, talk to the priest.