Yes, either you or your customer will need to purchase licenses for the framework.
Generally, your customer must purchase enough licenses to cover your developers and any of their developers updating or maintaining the application. For example, if you use 6 developers to create the application and your customer will support the application with 3 developers, then they would need to purchase 9 licenses, which would cover all the developers.
Alternatively, if you purchased licenses for your consultancy prior to the development, you can assign them to your customer by notifying Sencha and following any other conditions for an assignment included in the license agreement. So in the same example, if you use 6 developers to create the application and your customer will support the application with 3 developers, you could transfer two of the licenses to your customer if you had already purchased them.
Independent Consultants may purchase fewer than 5 licenses of Ext JS, GXT, or Test on behalf of a named client provided the consultant meets the eligibility requirements. You can also buy a single developer license(s) with an annual subscription for Sencha Ext JS and Sencha GXT.