Sandra,
The street location you provided is not really that far from Termini. My suggestion would be to forget the Metro and ask your Hotel to pre-book a Taxi to Roma Termini (especially at that time of the morning). That's a dreadful time of the morning to be travelling. Is there a reason you chose such an early train?
As you'll be leaving before the breakfast at your hotel, you could ask them if they'd be willing to prepare a "bag lunch" for the trip. There are lots of food joints at Termini, so you could also pick up a Panini and beverage for the trip. The Freccia trains usually have a food cart, but the sandwiches are somewhat mediocre and the coffee is cr@p (in most cases). There may be a dining car, but food there will likely be more expensive than at Termini.
When you arrive at Roma Termini, check the electronic sign board for the track no. (Binario, abbreviated "BIN") of FrecciaBianca 9758. You may find it helpful to have a look at THIS short video. At about the 1M:50S mark, it describes finding the right train. Your ticket will specify your reserved Car No. (Carrozza) and Seat No.'s (Posti), and that's where you must sit. Larger luggage items go on the racks at the end of the coach, but keep smaller items with you (especially those with valuables). Be sure to watch any luggage that you placed on the rack to make sure it doesn't "disappear".
Since this is your first trip to Italy, one other important point to mention is that if you use any Regionale trains, Buses, Metro or other forms of public transit, you MUST validate your tickets prior to boarding on the day of travel or risk hefty fines. You don't need to validate your Freccia tickets, since those come with reservations which are specific to train, date and departure time and can ONLY be used on the ONE train listed on the ticket. If you board the wrong train, again hefty fines are possible!