The Search page is pretty straightforward - you either type a valid LDAD filter in the input field and hit enter, or the "name" of an object:

If you type any text without a ( - an invalid LDAP filter - godap will consider it the "name" of an object and perform the (|(samAccountName=VAL)(cn=VAL)(ou=VAL)(name=VAL)) query, where VAL is the value you specified. Example:

The search page also offers a few predefined and useful queries that can be used in AD environments in the Library panel. After searching, it will render the full subtree that leads to every found object:

The found objects' attributes can be inspected by selecting Attributes tab on the top right corner:

A similar reasoning as 1. Explorer - Exporting Objects works for the Search page - Selecting an object and hitting Ctrl+S will export to a file the object itself and all descendant objects, along with all of their attributes, as long as these objects were found in the search (if they have other siblings/cousins/children in the tree that didn't match the filter, they won't be exported).

Therefore, you can actually dump an entire domain using the Search page by performing a search for all objects, selecting the root of the domain and hitting Ctrl+S - nevertheless, the export format cannot currently be converted to other tools such as BloodHound and Adalanche.