You cannot selectively transfer between devices, or selectively restore data; both processes are “all or nothing”. As such, assuming that you have adequate storage to accommodate the transfer or restored data, you can selectively delete data that you don’t wish to keep after the process completes - remembering that some data deletions may be synchronised between devices via iCloud.
Your alternative, or if your don't have sufficient storage on the target device, is to setup the new iPad without transferring or restoring from backup - and then use AirDrop or an alternative to selectively copy content from your old to new device.
Also note that some Apps can be configured to save their documents in iCloud. As such, if you install the associated App on another device that is signed-in to iCloud with the same AppleID, the associated files will automatically be available.
These support pages should get you started with setup of your new iPad - and the methods of transferring your data from old to new iPad:
Set up your iPhone, iPad or iPod touch – Apple Support
Transfer data from your previous iOS device to your new iPhone, iPad, or iPod touch - Apple Support
Use Quick Start to transfer data to a new iPhone, iPad or iPod touch – Apple Support
If the donor iPad, from which you are transferring your data precedes iOS12.4, QuickStart will not be available.
“Transfer” is rather a misnomer. In reality, your data and setup is merely cloned to the new device. Nothing is moved or removed from the original device.
The alternative is to restore either an iCloud or iTunes backup to the new device:
How to back up your iPhone, iPad and iPod touch – Apple Support
Restore your iPhone, iPad, or iPod touch from a backup - Apple Support
Note also that Apps are not directly transferred between devices. For Apps, the transfer process creates a record of the Apps that are installed on the donor iPad - and it is this record of installed Apps that is transferred to the target (new) device. For Apps that are still available for download from the App Store, the corresponding Apps are automatically downloaded and installed from the App Store.