Very demanding adviser
Advisors come in many flavors, from those who are very hands-off, to those who micromanage.  If you are really spending countless hours arguing over details that are seemingly unimportant (although what books/papers you read is most certainly not unimportant!), then you need to have a serious conversation with her about it.  

That kind of conversation is difficult as the advisee -- if she is paying for your degree, then you work for her, and she has a lot of leeway to determine what she thinks is important.  You have to tactfully lay out for her why you think she is micromanaging you too much, and see what she says.

At the end of the day, if you don't agree with how you are being advised, you have a number of possible avenues:


Talk to another faculty member (probably the department chair).
Talk to the faculty ombudsman, if there is one.
Do nothing, and carry on.  PhD programs don't last forever (though they often seem like it), and if you can still produce good work while working for the advisor, it can still work out in the end.
Try to find another advisor (or, possibly, another school)


Changing advisors is not a trivial thing, although many people do it early on in their graduate career.  That also involves tact, as professors generally don't like other professors poaching their students without a mutual discussion about it.

Bottom line: before you make any long-term decisions, have a discussion with your advisor about your perceptions, but be tactful and have a plan on what you are going to say before the meeting.