Safari privacy not blocked by google cookies

Perhaps you are looking for Use Private Browsing in Safari on Mac - Apple Support?

Cookies and other website data saved during Private Browsing are erased upon exiting Private Browsing.

The following may be of interest though: https://spreadprivacy.com/how-anonymous-is-duckduckgo/

Essentially, Private Browsing does not prevent Google from mining your personal information. You can still be tracked; your searches and browsing activity are still being monitored, your IP address and browser / computer information are harvested and uploaded to Google the way Google always does, and all those data are added to the virtual image Google assembles of "you" that is subsequently sold to anyone willing to pay for it.

Private Browsing prevents none of that. What it does:

"When you browse privately, the details of your browsing aren’t saved, and the websites you visit aren’t shared with your other devices. ... "

"(Private Browsing is) A way to visit webpages in Safari without leaving a trail on your Mac of where you’ve been. In addition, webpages you visit in private windows aren’t shared with your iPhone, iPad, iPod touch, or other Mac computers."

That's it.

Anyway, you will probably elicit more interest if you were to explain your concern in greater detail. Writing an effective Apple Support Communities Question - Apple Community may help you to compose a question that others can understand.