Sakura and Itachi never actually meet. There was a time when Sakura did see how Itachi looked like because the akatski sent a replacement to go and fight/stall Naruto's team so the akatski could have more time getting the jinchurican(tailed beast) out of Gaara.
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He meets him in Episode 84- "Roar, Chidori! Brother vs. Brother!"
Yes, Itachi dies because Sasuke kills him. It starts at episode 135 and goes up to episode 138.
Episode 113
She doesn't! He is way to cute for her!!! Sakura loves Sasuke in a few ways but has feelings for Naruto. In manga she kills him anyway.
Sakura does meet itachi in shippuden episodes.