Hi,
Sorry but our WebStore feature does not yet support this scenario, it only sends order confirmation emails to the customer and addresses configured at the store level.
Seems like the included Contact Form feature could be used to request a quote as it can send emails of form submissions.
You might also try the demo of my Form Wizard Pro add on product and see if it might meet your needs, it would allow you to configure various questions or options that a user would choose and it provides email notification of form submissions.
Hope it helps,
Joe