Presumably only if they make violent and terroristic threats like the right-wing subjects of the article did. The valence of their political beliefs is irrelevant, making the headline highly misleading.

The question is not what Google presumably does but what they actually do.

What they actually do is give data to law enforcement when users make violent and terroristic threats, which is what the right-wing users described in the article did. I know this because I read the article.

Reading the article is usually a great way to find out what the article says, and I recommend it to anyone who is interested in knowing what they’re talking about before they open their mouth to opine.

Fun fact: when Trump was elected, Google's CFO, Ruth Porat, cried on stage during their weekly company meeting. I'll let you determine yourself whether there might be a bit of a bias in investigating left wing violent extremism.