The speaker in the YouTube video explains how they plan to use breadth-first search algorithms to traverse the internet. They plan to use web scraping to find new website URLs and create a graph, then traverse the graph, scraping new links and adding them to the graph as they go. This process will be similar to a crawler or spider bot, and the speaker plans to use the Google Colab platform to run the code. The speaker notes that it is a slow process, as they need to find new nodes through web scraping, and it takes a few seconds per website. The process will continue until they have visited 50,000 websites, and the speaker notes that this is how web crawlers and spider bots work. The speaker encourages viewers to try running a depth-first search on their own. ChatGpt Tutorial Hub