Welcome to the forum. Hopefully, you'll find a lot of information here that will help you get acclimated to the Divine Liturgy and other aspects of the Eastern Churches.
Bob's idea of drafting those questions, so that you can have them at your fingertips when you get an opportunity to sit down with your priest, is an excellent idea.
Deacon Lance's links are to a wonderful selection of materials, all of which are available as pdfs (I have to admit that, despite them being made available by my own eparchy, I wasn't aware of the scope that they covered - hadn't looked at the site for some time). Don't be afraid to delve into those, despite that they are being offered by the Melkite Eparchy and you're attending an Italo-Greek parish belonging to a Ruthenian eparchy
- the spirituality of the Byzantine Rite is pervasive across Particular Church lines and I feel certain that you'll find answers in them to many of your questions, despite some slight textual differences here and there.