Unfortunately, way back in 2010, most search engines started increasing their privacy settings... they no longer allow the full search URL (which has all the search query data) to be passed as a referrer... this prevents all analytics tools from being able to see that information.
Now, that said, of course Google Analytics, when you connect it to your Google Search Console allows that data to be stitched... but that's cause its completely in Google's connected to tools to provide that information...
That said, if you are really interested in getting search keywords into Adobe, you can always use the Google API to get data from Search Console, then use Adobe's Data Source feature to import the data in.
@frederikwerner has a really great post about this:
https://www.fullstackanalyst.io/blog/adobe-analytics/getting-google-search-keywords-into-adobe-analytics/