Right to be forgotten is older than GDPR. They might have included it as part of the new law. But overall the right to be forgotten is older than GDPR. But that link is not an offical source and has right to be forgotten in brackets as the actual right is the right to have data deleted.
And the main part is that it only affects data within the EU. Google can still process your data and even clearly tells you that they still have the data when they show you a link at the bottom of the search result that they removed results.
Edit:
Wikipedia has "The right to be forgotten was replaced by a more limited right to erasure in the version of the GDPR adopted by the European Parliament in March 2014."
There are analogues for minors across the US (COPPA), in many other jurisdictions (e.g. CCPA), etc. GDPR, as a human rights law, tends to have far-reaching claws too.
Google has tools: https://support.google.com/websearch/troubleshooter/3111061?...
GDPR grants a right-to-be-forgotten. It's not a proactive right; you need to make a request.