You can do this in two ways:
First, email the alert sending the results of the alert (it's just a setting in the web form).
Second, have the alert run a script on the Splunk server that then parses the results file (the location of which is found in the environment variable SPLUNK_ARG_8 the script (in whatever language) can access). After pull out only the data you want, have the script send mail, run processes, or do whatever else you need to parse it.
Look for more variable info at http://docs.splunk.com/Documentation/Splunk/6.0/Alert/Configuringscriptedalerts
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