Weebly has partnered up with Google Apps to provide email for your own domain name. And setup couldn't be easier!
Visit the Email tab of your account.
Then enter the address you want, use the drop-down menu to select the domain you'd like to use it with, and click Start 15 Day Trial.
All done! Within about five minutes you'll have an email address that's ready to use and that you can access through your Email tab.
You can log in to your email address by going directly to mail.google.com/a/yourdomainhere.com (making sure to replace yourdomainhere.com with your own domain name) or by using the Go To Inbox link found under the options button.
The password for your email account is automatically generated and is emailed to your Weebly account email address. If you don't receive your password within ten minutes after creating the email address, you can reset it using the option found under the Actions button on the Email tab.