Yes, Shizune dies but when Naruto defeats Nagato; all the souls he stole that were able to be returned, including hers.
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In the Invasion of Pain arc Shizune was caught by the Human Path and, after she had her mind read her Soul was removed.
However, she is revived later by Nagato's Outer Path technique.
Edited: Out of date.
shizune is dan's niece
iruka should be with shizune
Shizune is Tsunade's assistant. She is also a very skilled medical ninja. Shizune is the niece of Dan, the late lover of Tsunade. Some time after Dan died, Tsunade left Konoha, and Shizune went with her as her attendant and apprentice. Shizune was killed by Human Pain but was later revived by Nagato.
Shizune is alive because after Naruto convinced Nagato to stop attacking or whatever, Nagato used one of the last powers of the Sage of Six Paths to bring everyone back!
Shinku doesn't have a age. She's a doll(Rozen Maiden). By her appearence, she seems like 6-8 years old. But actually, she is very old, since Rozen Maiden was made before a very long time by Rozen.