You are looking at the HTML representation of the XML format.
HTML is good for debugging, but is unsuitable for application use.
Specify the format parameter to change the output format.
To see the non HTML representation of the XML format, set format=xml.
See the complete documentation, or API help for more information. 
<?xml version="1.0"?>
<api>
  <query-continue>
    <allredirects garcontinue="Irish_Dance_Wiki|1692" />
  </query-continue>
  <query>
    <pages>
      <page pageid="1390" ns="0" title="Dance Shoes" />
      <page pageid="1396" ns="0" title="Dance Sean Nos" />
      <page pageid="1402" ns="0" title="CeiliDance" />
      <page pageid="1454" ns="0" title="CMC" />
      <page pageid="1455" ns="0" title="Cosa Meara Company" />
      <page pageid="1456" ns="0" title="Cosa Meara" />
      <page pageid="2165" ns="0" title="Dance Videos" />
      <page pageid="2166" ns="0" title="Dance Minder" />
      <page pageid="2171" ns="0" title="Cass Academy of Irish Dance" />
      <page pageid="2181" ns="0" title="Inishfree School of Irish Dance" />
    </pages>
  </query>
</api>