Here's how Connie shows the team her lightsaber and where Yuna requests to take Connie as her apprentice in The Day Connie Came
[the next day, the team are once again at Connie's Mansion]
[we see the team are in Connie's room]
Button Mash: You are so lucky, I wish I had a plasma screen tv in my bedroom back home.
Button Mash: So I could play some of the kick flank videogames I own!
Sweetie Belle: Yeah, Button loves playing videos of anykind, I've played a few with him.
Connie: Oh. Well, I don't really use the Tv for anything, but I sometimes watch nature shows or something else.
[then Scootaloo notices a brown case on Connie's dresser]
Scootaloo: Hey Connie, what's in this case?
Connie: Oh! Um.... Nothing.
Scootaloo: Come on, what is it?
Connie: Well, it's something my daddy gave me 2 years ago.
Scootaloo: Could we see it?
Connie: [thinks for a moment] I guess so. [she takes the case and then sets it on her bed and opens it]
Yuna: Oh my!
Skyla; It that a?
Button Mash: It is one!
[inside we see a lightsaber!]
Connie: Yeah, I've had it for a while now.
Apple Bloom: Why didn't ya tells sooner you had a Lightsaber?
Connie: Because, I never knew the Jedi.
Scootaloo: [gasps] Seriously?
Connie: Yes. I haven't even had anyone train me of the ways of the Force.
Sweetie Belle: Oh, my.
Yuna: Oh, dear. [in her mind] Poor Connie. Then again with everyone in Manehatten mistreating her, I can understand why she hasn't had training with the Force. But she could make a for good Jedi, I do feel the Force within her, if only.... Wait a Minute! I could train Connie to be a Jedi! But I'll have to talk to Mama, first.
[At Canterlot castle]
Princess Luna: Yes, sweetie?
Yuna: Our new friend Connie, she has a lightsaber.
Princess Luna: A Lightsaber?
Yuna: Yeah, but she hasn't had any training with the ways of the Force, so, I wanna take her in as my Padawan.
Princess Luna: You wanna take in your friend Connie as your Padawan?
Princess Luna: I don't know, having an Padawan is a huge responsibility, are you up for that?
Yuna: Yes. I sense the force within Connie, I have no doubt she can be a good Jedi, escpeically since her lightsaber is a uniquely shaped one.
Princess Luna: How so?
Yuna: It's a double ended one with an "s" shaped hilt.
Princess Luna: A lightsaber with an "s" shape? That is something.
Yuna: I know. What do you think?
Princess Luna: [thinks for a moment] Alright, Yuna. You may take Connie as your Padawan, I'll go and speak with Master Yoda and Tia about the matter as well.
[in another room]
Princess Luna: Master Yoda?
Master Yoda: Mmm?
Princess Luna: My daughter, Yuna, has found out her friend Connie, a giraffe, has a lightsaber.
Master Yoda: A lightsaber, her friend has?
Princess Luna: Yes.
Master Yoda: Hmmm?
Princess Luna: Yeah, Yuna tells me her friend hasn't any training with the Force so, she aksed me if she could take her in as her Padwan.
Master Yoda: To take her friend in as her Padawan, Yuna wishes?
Princess Luna: Yes.
Master Yoda: Meet the giraffe, I will.
[Later, Yoda is now talking with Green Bills about the matter]
Green Bills: So, Yuna wishes to take my daughter in as her Padawan?
Master Yoda: Yes.
Green Bills: Well, I will gladly have Yuna train my Daughter.
Master Yoda: [smiles]