By default, most of your videos will live in your My Folder, unless you specify another location.
Panopto has a robust search feature. It searches the title, the video captions that are automatically generated from every video, as well as any text in the video that it can recognize. See How to Use Video Search and Learn About Smart Search.
Note: If you want to narrow your search to just find videos that have a specific search term in the title, there is currently no way to do that.