Both solutions use large language models (LLMs) to provide results, but they solve very different problems.
ChatGPT is a generative model that predicts the next most likely word/s based on the input context and underlying training.
Algolia AI Search retrieves the best search results from your search index based on your clearly-defined business outcomes.
For example, in the context of ecommerce search, an AI chatbot can act like a virtual sales assistant to discuss what you’re looking for. With AI search, it’s as if the sales assistant is ranking the top items based on personalization, rules, merchandising, top performing results, past purchase or search history, or other factors you’ve identified as important.