See the link in my signature.
Added: Oops. I read your message backwards. You can read Sony e-books on a NOOK, but you can't read B&N e-books on a Sony. Sony hasn't (yet?) made their readers compatible with B&N.
Can anyone tell me how, if any, do I get the ebooks I have from B&N onto my Sony eReader? I have Reader Library & Adobe Digital Editions but I can't figure it out. I can only read the ebook from my computer. Please help!
Unless you have a B&N eBook without DRM (not likely, but possible for some free classics or Smashwords books) then you cannot read a B&N eBook on the Sony Reader...