What is a good thesis statement about freedom in The Giver by Lois Lowry? What are three examples to support the statement?

I like to recommend thesis statements that force writers to discuss polar opposite topics.  It should go something like the following: "Such and such seems to indicate this and that, but the reality is that this and these are really this and that."  

Regarding freedom in The Giver, you should decide if the society has lots of freedom or not.  That will shape which part of the thesis statement comes first.  For example: "Although Jonas's society purports the freedom of its members, it is actually a very controlled and strictly ruled society."  You could reverse the statement, which would then cause your thesis to support the concept that the rules of Jonas's society actually help the people be more free.  Personally, I disagree with that one, but it is up to you.  

For either statement, you need support that focuses on freedom and/or control.  Use the Sameness.  It is an ever present societal system in the book.  There are things about the Sameness that I like, and there are things that I don't.  Not seeing color is a negative, but no hate is nice a bonus.  In general though, I think the Sameness removed a lot of freedom from society members.  

"Our people made that choice, the choice to go to Sameness. Before my time, before the previous time, back and back and back. We relinquished color when we relinquished sunshine and did away with difference. We gained control of many things. But we had to let go of others."

Further freedom or oppression evidence is found in the concept of choice.  I should say the lack of choice, actually.  Nobody makes choices in Jonas's society.  If a choice or change has to be made, it is done through painfully slow bureaucratic procedures.  The freedom of individual choice has all but been eliminated.  Now you could argue that is a good thing.  There are times when I really like it when somebody else makes a decision for me.  It frees me from the burden of making the decision in the first place.  

Lastly, use the yearly ceremonies as evidence.  Each child is told what he/she can do when he/she can do it.  Even the child's future career is chosen.  He/she is not free to choose a desired path, which sounds terrible, but then again the Sameness removed any possibility of hate and anger against those decisions.