Yes, the Paypal module should appear in the Payment and Gateway category after install. If it does not, try to install it again.
If you have an account with us, I would be happy to check into the base files to see if the module files were being inserted in the right place. You can send your domain name to email@example.com. If you do not have an account with us, or you are familiar with your file structure. The module should be in the root/modules directory (where root is your base folder for your prestashop program).
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