iCloud mail works on iPhone but do not appear on iMac, very recent problem

Hi to.stan,

Welcome to Apple Support Communities. We understand that you're friend is having an issue with receiving emails on her iMac. We'd like to help.

Are both devices signed into the same Apple ID? Is iCloud Mail turned on on the iMac? Follow the steps below to check:

1. Click the Apple Menu 
2. Open System Preference or System Settings
3. Click on your name and choose iCloud
4. Click iCloud Mail

Is that on? If not, toggle that to see if that helps.

If you still have issues, these steps can help moving forward:

If you can’t receive emails in Mail on Mac

In the Mail app  on your Mac, if you’re certain you’re not receiving messages, even after clicking the Get Mail button  in the Mail toolbar, try these suggestions.

* Check whether Mail is retrieving a large message or a message with large attachments. See View Mail activity.

* Check if you’re using filters in the message list that are preventing expected messages from being shown.

* Try sorting messages in the message list by Date or another attribute, or searching for messages, to verify if you received them.

* Check whether your account is offline or disabled (inactive).

* If you’re missing emails from a specific person or group, check whether you blocked messages from them.

* Try quitting Mail, then opening it again.

* Choose Window > Connection Doctor, then follow any instructions in the Details column. Check for problems logging in to email accounts or with the incoming Mail server, or with firewall software blocking network traffic.

* Check whether you’re affected by another firewall, such as software installed separately from macOS or built into an internet sharing router, or administered by your email account provider. Contact the appropriate person for information.

* If you’re still having problems, contact your email account provider to verify your user name, password, incoming mail server, and other required information. Then verify the information is entered correctly in Mail account settings.

Hope that helps.

Take care!