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="Sean_Nos_Dance" />
  </query-continue>
  <query>
    <pages>
      <page pageid="1529" ns="0" title="Cass-Barrington Academy of Irish Dance" />
      <page pageid="1371" ns="0" title="Ceili Dance" />
      <page pageid="1453" ns="0" title="Cosa Meara Company of Irish Dance" />
      <page pageid="2110" ns="0" title="DanceMinder" />
      <page pageid="1374" ns="0" title="Dance Clothing" />
      <page pageid="2157" ns="0" title="Dance Sean-Nós" />
      <page pageid="1395" ns="0" title="Emerald School of Irish Dance" />
      <page pageid="1376" ns="0" title="Instructional Videos" />
      <page pageid="1" ns="0" title="Irish Dance Wiki" />
      <page pageid="2156" ns="0" title="Sean-Nós" />
    </pages>
  </query>
</api>