"My experience as an executive will be put to good use as a mayor and business owner and oil and gas regulator and then as governor of a huge state, an energy producing state that is accounting for much progress towards getting our nation energy independence, and that's extremely important."
A better way to have contructed the sentence would have been:
"My experience as an executive, as a mayor and business owner and oil and gas regulator and then as governor of a huge state, an energy producing state that is accounting for much progress towards getting our nationn energy independence, will be put to good use, and that's important."
Unless she meant:
"My experience as an executive, as a mayor and business owner and oil and gas regulator and then as governor of a huge state, an energy producing state that is accounting for much progress towards getting our nationn energy independennce, and that's important, will be put to good use."
As the sentence stands, the verb will is describing what she did as a mayor, business owner, yadda yadda: things she has already done, or is currently doing, not what she is going to do in the future. In truth, the sentence is messed up and logically makes no sense, though one can generally parse out what her meaning was. That said, she was talking off the cuff, not reading from a speech or writing, and most people are more imprecise with their language use under those circumstances.
Goat, if you diagram the sentence, something I was never very good at, I think you'll see the problem in the sentence structure I've described.