Yes, assuming it's a Wordpress website then hosting the site is 100% included in your plan (totally optional of course) and our preference to make supporting you even easier. 

There is only 1 eligibility condition, that you don't require email hosting. Meaning you're using a 3rd party system like Suite, Office365 or ZohoMail, or you don't have emails setup on the domain name you want us to host.

If you do want us to host it on our Performance Optimized Wordpress Hosting then there are no additional fees and charges, simply let us know you'd like to host during onboarding or at any time and we'll take care of everything from there.