Not really .. the significant difference is that a search engine is backed by a web crawler that is running continuously discovering new content, vs the LLM which has a fixed training set that will only be updated infrequently (very slow and expensive to retrain). Also, once a new web page, or new version of a web page, has been indexed by the crawler then you should be able to find it if your search terms match, while with an LLM all bets are off as to whether you can coax it to generate something based on something in the training set.