Welcome Melissab1!
The main activity during exposition (also known as adoration) is time spent quietly in the presence of the Lord. You might pray silently, say the Rosary or other devotional prayers silently, or just sit and feel His presence.
Depending on when you go and how long you stay there may be some other things going on. When the Eucharist is first brought out from the sanctuary some prayers are recited and a hymn sung. These are usually printed in the missal or other prayer guide that you will find in the pew. If you can’t find them don’t worry, you can just listen and pray silently in your own words.
During the time of exposition some parishes offer a liturgy called the ‘Liturgy of the Hours’ also called the ‘Divine Office’. This consists of a hymn, the reciting of some psalms, and a short reading. If this occurs there will certainly be books or pamphlets to guide you. This liturgy does not happen every time, it varies from place to place.
Some parishes pray the Rosary together during adoration or perhaps some other prayers. Again, you can join in or listen quietly.
There will certainly be some time, perhaps several hours, of silence. You do not have to stay the whole time, few do. Just come and go quietly and respectfully.
At the end of the period of exposition there are also some prayers and a hymn, similar to what occurred at the beginning. If a priest or deacon is presiding then you will get a blessing. As the Eucharist is brought back to the sanctuary a hymn is sung.
Don’t worry, you are not expected to know any special hymns or prayers. If they are not printed out for you then participate with your internal prayers or just listen in prayerful silence.
Blessings on you for your conversion and for your intention to go and spend some time with our Lord. I am sure that you will find it a worthwhile experience.