Earlier quoted context omitted.
"Googlers have the right to participate in protected concerted activities" is not a personal political opinion, it is the law.
If she had used a company printer to print pro-union fliers and then shared them I'm 90% she could be fired for misuse of company resources. At to my intuition this feels like using the company printer without permission.
Until Trump's NLRB overturned the precedent late last year, workers had stronger protections than getting fired for a minor slip-up in the course of organizing. But today, your intuition would be correct.