To email out your original contract, just navigate to the Contracts page for the contract you'd like to send:
Enter the document you want to email out. Then click on the options menu in the upper right corner:
This will bring up a few options. Just pick "Send contract via email" and a dialog box will open so that you can send out the contract.
One cool option in the dialog box is choosing whether to attach any related documents. Super useful for including P.O.s, Insertion Orders, Invoices, etc.
If you do not have this option, you may be a Read Only user in your organization without the ability to Print or Download (or Email).