Hello Maria,
Thank you for your interest in our product.
Amelia doesn't yet have a membership feature, but it will be developed as a part of the Developer license (maybe even as part of the Pro license) in the future. But there may be a workaround you're interested in.
Any membership plugin (like MemberPress, or Ultimate Member, etc.) allows you to create pages that are inaccessible to some (for example non-logged-in users). You can also create custom logic, so a user can access this page once a month (for example), but we're not sure about that, since we don't work with Membership plugins. 
Please take a look at our Packages feature, and see if maybe the Packages would be useful for you.

Hello,

Thank you for the clarification!

To set up Amelia so that clients can book services without seeing or paying any prices, you can set the prices of the services to 0. Here's how you can do that:

1. Go to Amelia > Services in your WordPress dashboard.
2. Edit each service you want to offer without a price.
3. In the Pricing section of the service, set the price to 0.
4. Save your changes.

This will make the services free of charge and remove any reference to prices during the booking process.

If you need any further assistance, feel free to reach out!