There are six search categories, but generally you'll only ever use four of them:
Search in the appropriate category. Results will be listed with author, title, year, file format, etc. Choose the result with your preferred year, file format, etc. and either:
This should start downloading the file. If the download doesn't start or the page isn't available, try a different mirror.
To view the files, you'll need an ebook reader application. On desktop the best I've found is Thorium, though I've also used Adobe Digital Editions. On Android, I use KOReader.
What features from Edge exactly do you wan't? Thorium Reader is pretty good. Firefox and Chrome also have epub plugins, if you want to read in a browser.