for cpanel, no action needed for lsws.
for native lsws vhost, you need to create vhost in lsws and set the docroot. create a listener and map the created vhost to it.
http://www.usefuljaja.com/litespeed
Litespeed Virtual Hosts:
Litespeed Virtual Host Layout: Before configuring Litespeed to host multiple sites, let's look at a standard virtual host layout for easy and portable configurability.
Litespeed Instantiate a Virtual Host: There are two ways of serving vhosts. One takes a template setting and the other makes it completely independent.