As a very simple approach you can crawl all images and compute a hash for each.
Later on, when user submits an image for a search, you compute a hash for that too and look for the same hash in your database.
However, this is really simplistic approach and will only work if searched for exact image copies. Ideally, each image should be converted to some simplified feature set (to have tolerance against different versions of the same image --- different formats, sizes, noise, etc.) used for comparison. For instance, it could be worth trying convert images (both crawled and submitted for search) to grayscale of 128x128 size and compute hash of that.