There are a number of ways to transfer files between two people on the internet. The most simple is email, though you are severely limited on the size of your attachments. There are other services such as Dropbox that you can use, but I’ve come across a new one that has to be the easiest I have seen.
WeTransfer is about as easy as online file transfers get. Just go to the site, upload a file (or multiple files) up to 2GB, enter your email address and that of the person you want to receive the file (you can email up to 20 people), include a message if you like, and hit Transfer. The other person will receive an email with a download button, and you will receive a confirmation that the file was sent. What’s more, you will receive a follow-up email when the other person successfully downloads the file. No usernames or passwords to remember, and the files stay available for two weeks. What more could you ask for?