The mistake in the sentence provided consists of the use of "do" where it should be "doing", which means the correct form is "George is not used to doing..."
Do versus doing
The sentence would be correct if we did not have the verb "to be". In that case, we would be employing "used to," whose function is to talk about habitual actions in the past. Then, the sentence would be "George used to do chores" or "George didn't use to do chores."
However, the verb "to be" changes the sentence. "To be used to" is used to talk about actions we are accustomed to in the present. The verb that follows "to be used to" should have -ing. Therefore, the correct form is "George is not used to doing chores."
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