Hi Kevin,
To configure a cross-site lookup field as a hyperlink to the lookup item in the lookup list you you can modifiy the list view (such as the AllItems view) of the Contract Info list to configure a qListView web and hide the OOB view from SharePoint.
You can include in qListView the same display fields as seen in the OOB view, and for the cross-site lookup field, set the DisplayFieldName to "Task Name", and set Link To to a URL that looks like https://domain/Contract/subsite/Lists/ContractsBySite/DispForm.aspx?ID=<%ID%>. This will make the field a hyperlink field showing the Task Name, which when clicked by the user, opens up the view of the lookup item.
Yuan