i have a new ipad pro but my emails aren’t showing up, how do i get my emails to transfer over?

You email messages are not transferred between devices - but must instead be downloaded again from your email providers Mail Server. Assuming that you email provider uses IMAP, all your email is kept on the server; your iPad will download a copy of email messages from the mail server.

If you used Apple’s transfer process when setting-up your new iPad, your mail account settings should have been automatically transferred to your new iPad. If you instead set-up the new iPad manually, then you will need to add the Mail account(s) to your iPad:

Add an email account to your iPhone, iPad, or iPod touch - Apple Support

that would probably be the fault of your email provider. make sure you are signed in and contact the provider if needed.