How do I get train Tickets?

You probably don’t really need a pass
For train travel in Italy it is usually more cost effective to just buy point to point tickets on the actual train site

Trenitalia
https://www.trenitalia.com/content/tcom/en.html

Or get their easy to use app

All you need to know here
https://www.seat61.com/train-travel-in-italy.htm

Which routes are you needing?

Buy tickets at the ticket office the day you want to travel if you need advice. otherwise you can use the ticket machines in most train stations to buy.

If you need a high speed train for a long distance, like Rome to Venice, then you'll want to buy in advance on line and get reserved seats.

Travel 2nd class on all trains to save $$. Learn to read the train schedule, and know the names of the towns in ITALIAN.

You can plan ahead by using this website to get an idea of cost and train schedule between towns. https://www.rome2rio.com/

And #1. Make sure you validate your tickets BEFORE you got on the train, or expect a nice big fine when the conductor comes around to check tickets.

Yes, use the Trenitalia app. Learn to use the status, very easy to track the train you need. Long distance fast trains are a little different.

I have been using https://www.thetrainline.com/en-us in recent years and their customer service is great. You can email questions and get a response. I just bought round trip on a high speed Italo train Milan to Florence and back first class for only an extra $5 each way (mid-September). So easy online. There's an app that works pretty well too.

I’ll echo the idea that a railpass usually doesn’t make financial sense and it’s just unnecessary.

Use your phone w the app or website to buy tix the night before. Or use the ubiquitous machines to buy them at the station. They are easy to use and work in multiple languages.

Buy tickets from the train operators—Trenitalia or Italo. Trainline charges you a fee.

Where are you travelling? we needed a ticket from Trieste to Venice - we arrived (on the train from Slovenia) saw the schedule - noted the departure times. Went into town had a look around, returned to the station bought tickets on the next rain from the (mulit-lingual) machine , job done, and boarded. There were trains every 30min or so

It was much harder finding somewhere to dump the bags for a few hours!

The process for getting my train pass is asking me to make reservations and purchase the tickets?

from your original question -- yes, if using a pass and anything faster than the slowest trains - Regionale - you do need to use a pass day ($$$) and also buy a reservation for the mandatory seat ($$). Pain in the butt.

If you buy normal tickets on the faster trains ahead of time - the further ahead the better for cheapest fares, the reservation is already included in the price of what can already be quite an inexpensive ticket.

So - often - a real ticket is cheaper than a pass day plus reservation fees. When buying those reservations you need to pay for every segment. So if you want to change trains once that's two fees. Change twice - three fees, etc.