Is the woman a native American speaker?

She has a slight but detectable foreign accent, so no.
 
I don't hear a foreign accent. She has a slight lisp that makes her S sounds a bit shushy, but she sounds like an American to me. I've not been able to discover her birthplace, only that she is currently a physics student at the University of California Berkeley.
 
Her presentation is perfect. She personalizes it, but not too much.
 
I don't hear a foreign accent.

There are a few features to notice but the most obvious one to me is the stilted way she pronounces 'to' in the strong form. There are three closely consecutive cases of it here:

 
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