Hello, Deb2015.
Thank you for visiting Apple Support Communities.
I understand that messages sent and received from your iPhone are not showing up on your iPad. I would check to make sure you have an internet connection on the iPad as this could be the cause. If the issue persists, try the troubleshooting steps in the article below.
If you can't send or receive messages on your iPhone, iPad, or iPod touch
Cheers,
Jason H.