Apple's iCloud sync and cloud storage service is one of iOS's and OS X's key attractions. But Apple keeps it in the family to encourage people to commit. However, you can access iCloud email from the standard Android Email app.
The key is to sign in using your iCloud account's me.com address, not your icloud.com address. The incoming server is mail.me.com, and the outgoing server is smtp.me.com. SSL should be on.