The bullets are handled by CSS - look in stylesheet_categories_dressing.css for the comments about removing bullets (you will want to use list-style: none;).
For the groups, you want to specify in categories_dressing_defines.php that the category id of the first category in each group (Administrative Professionals, Care Packages, Client Appreciation) begins a new group, has a text heading with content as shown, and the second and third have dividers above them.
PHP Code:
define ('CAT_BOX_HEADING_23','1|0|||Special Occasions|1');//new list - text heading - style 1
define ('CAT_BOX_HEADING_24','1|1|||Theme Designs|1');//new list - divider and text heading - style 1
define ('CAT_BOX_HEADING_25','1|1|||Corporate Collection|1');//new list - divider and text heading - style 1
Replace 23, 24 and 25 with the correct category ids.