"Crumbs" is a noun (名词) here. "Bread crumbs" is a reference to the famous fairytale of Hansel and Gretel, who left bread crumbs in their trail so that they can follow the crumbs home and won't get lost in the woods. So the sentence is trying to say that when you're on the internet, you leave behind pieces of personal information that strangers can find and put together to have an idea of who you are, where you are/live etc.