The name speaks for itself, a Wallet is something you hold your money in, in this case, cryptocurrency. A wallet can be a standalone program for any operating system, a specialized hardware for maximizing security, a piece of paper with your public address and private key or it can be a website like Corion Wallet.
An account is technically your personal profile in the wallet. It is identified with your email address, and protected with a strong encryption of your password. Basic functionality includes signing transactions, the ability to send and receive tokens/coins. The Corion wallet offers much more than the basics.