Yes! The newest member of the Crystal Gems will give us a whole journey of a crystal gem. How? Let's get started!
1) Summoning a Weapon
So, we heard from Pearl that Rose taught her how to summon her weapon. Since Pearl doesn't know how to summon that time, we can compare this event to Peridot. They'll all, most likely, teach Peridot how to summon her weapon, but it will probably all come from Pearl, who received the teachings of Rose Quartz. We will see how Pearl learned how to summon her weapon (and how to not use limb enhancers).
2) New Abilities
Not sure about this one but, some gems are proficient when it comes to an ability. Let's take Amethyst as an example. All of the gems can shapeshift but Amethyst can do it quicker and prettier. We will see how a Crystal Gem learns a unique ability buried inside her.
Yes, I know. All gems are capable of fusing, but there are some gems that doesn't fuse. If you're a unique gem, then you can't fuse with another gem of different type (in Homeworld), since you'll not find a gem of the same type. We learned from "The Answer" that in Homeworld, gems of the same type can only fuse. No matter how many you are, you'll always feel the same but just bigger (credits to Ruby). But! In the ways of the Crystal Gems, fusing with a gem of another type is allowed. All of the Crystal Gems can fuse; even Steven fuses with his friend, Connie. Now, this is a problem for Peridot as she is still living in the ways and rules of Homeworld. We will see how the Crystal Gems tried fusing with each other during the Rebellion.
4) Temple Gate
Now, this is the biggest mystery (or at least one of the biggest mysteries) of the Crystal Temple. How did they build the rooms? Since Peridot is the newest Crystal Gem, she must be part of the star on the Temple Gate now. But how will this be? Will a green gemstone just pop on the crystal door as the star extend a point to include it? It's too complicated. We will see how Amethyst was added to the Temple Gate when she was discovered by Rose.
You might have noticed that every last sentence of a paragraph starts with, We will be-. Well, that's not exactly what we're going to see. Peridot will be representing that event. For example, when Amethyst had her room in the Crystal Temple. We don't know how that happened. So, as the newest member of the Crystal Gem, Peridot will most likely get her room.
How does this relate to Amethyst getting her room? We will see how a room is created in the temple and how a gemstone will appear on the Temple Gate.