I'm talking about the US where google is also protected by the first amendment and not the bizarro world logic the EU uses to justify their protectionism (how are shopping ads different than any other search ads?!).
"The Sherman Act broadly prohibits (1) anticompetitive agreements and (2) unilateral conduct that monopolizes or attempts to monopolize the relevant market."
For example, squashing competition by deleting your competitors search results might be interpreted as an attempt to monopolize the market.
In the context of providing a marketplace (i.e. the App Store), we aren't really looking at "private free speech" any more and so the first amendment does not apply here.