“It is her actual name”
That does not really matter in copyright or trademark cases.
My surname is the same as a famous brand but I would not be allowed to sell a product with my name on it.
A few years ago a member of the Gallo family (wines) started a cheese business and had the Gallo name on it. The wine Gallo sued and the cheese Gallo had to change the name of their product.
So a name is not a shield.
I think Googe’s campaign could do fine with a different font for her name. After all she is running as a politician not an IT company.
On the other had, Mike Rowe Software won its case against Microsoft, because Michael (Mike) Rowe had a business retailing software.
The other issue is that she is not in a commercial venture - she is running for office. Her name is enforced by election law - it is what will appear on the ballot.
I think that the trademark on the font is all that is in play here.