Making the permissions public of an image on Google Drive gives you a link https://drive.google.com/file/d/1sqnSpR_o1SKGGQeX8K6SnmYgI8ONfhMD, letting you share the file/image with anyone. But how to embed it in a blog for instance?
From the link you get once you make your image "public" ("anyone with the link can view your image"), only retrieve the ID.
https://drive.google.com/file/d/and the end part
This link will redirect you to another long url, but do not care about it. Just use the crafted link to embed or share the image without the Google layout around it.
Creating a bookmark in your favorite browser (firefox, chrome, ...) and using this code as a link will craft the URL from a link you copied.
Google Drive is definitely not the best for this kind of purpose, and the method explained is pretty tricky. Instead, I would advise using a proper image sharing service. Dropbox lets you share an image with a link based on the image name. Pretty convenient!