Why is there the first 看 in 她看都没看过我一眼? From 标准教程HSK4上 (page 93):


  她看都没看过我一眼，怎么样才能使她喜欢我呢？  


Google Translate is not great here, but it gives some idea of how it works.  I think it translates to something like:


  She has never even glanced at me, how can I get her to like me?


I don't understand how the first part 她看都没看过我一眼 pieces together.

I think the logic is something like:


一眼 = a glance
看一眼 = a glance at
看我一眼 a glance at me
看过我一眼 glanced at me once
没看过我一眼 never glanced at me once
都没看过我一眼 never even once glanced at me
看都没看过我一眼 ???
她看都没看过我一眼 She has never even glanced at me


So...

Question: Why is there the first 看 in 她看都没看过我一眼?

Baidu gives some examples where we just drop the 看, but they're relatively rare (so could be erroneous), e.g.:


  自始至终，她都没看过我一眼！  (link)
This is a common pattern used for emphasizing that something "hasn't even been...":


  v + 都没有 + v



动都没有动 = hasn't even been touched
看都没有看 = hasn't even been looked at
翻都没有翻 = hasn't even been flipped through