Add this in your conkyrc
${exec curl -s "http://api.hostip.info" | xpath -e "//gml:featureMember/Hostip/gml:name/text()" -q} ${exec curl -s "http://api.hostip.info" | xpath -e "//gml:featureMember/Hostip//gml:coordinates/text()" -q}
Hostip is well known as a service provider of the geoclue framework. It translates IP address to geolocation information. The API we use will return a GML document like
<?xml version="1.0" encoding="ISO-8859-1" ?>
<hostipLookupResultSet version="1.0.1" xmlns:gml="http://www.opengis.net/gml" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="http://www.hostip.info/api/hostip-1.0.1.xsd">
<gml:description>This is the Hostip Lookup Service</gml:description>
<gml:name>hostip</gml:name>
<gml:boundedBy>
<gml:Null>inapplicable</gml:Null>
</gml:boundedBy>
<gml:featureMember>
<hostip>
<ip>58.212.88.212</ip>
<gml:name>Nanjing</gml:name>
<countryName>CHINA</countryName>
<countryAbbrev>CN</countryAbbrev>
<!-- Co-ordinates are available as lng,lat -->
<ipLocation>
<gml:pointProperty>
<gml:Point srsName="http://www.opengis.net/gml/srs/epsg.xml#4326">
<gml:coordinates>118.883,32.05</gml:coordinates>
</gml:Point>
</gml:pointProperty>
</ipLocation>
</hostip>
</gml:featureMember>
</hostipLookupResultSet>
<hostipLookupResultSet version="1.0.1" xmlns:gml="http://www.opengis.net/gml" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="http://www.hostip.info/api/hostip-1.0.1.xsd">
<gml:description>This is the Hostip Lookup Service</gml:description>
<gml:name>hostip</gml:name>
<gml:boundedBy>
<gml:Null>inapplicable</gml:Null>
</gml:boundedBy>
<gml:featureMember>
<hostip>
<ip>58.212.88.212</ip>
<gml:name>Nanjing</gml:name>
<countryName>CHINA</countryName>
<countryAbbrev>CN</countryAbbrev>
<!-- Co-ordinates are available as lng,lat -->
<ipLocation>
<gml:pointProperty>
<gml:Point srsName="http://www.opengis.net/gml/srs/epsg.xml#4326">
<gml:coordinates>118.883,32.05</gml:coordinates>
</gml:Point>
</gml:pointProperty>
</ipLocation>
</hostip>
</gml:featureMember>
</hostipLookupResultSet>
Because it uses ip to lookup your address, you cannot expect higher resolution and precision currently.