A couple observations:

• Are you using use strict and use warnings? These are helpful in alerting you to undefined functions, variables etc.
• param() only returns those variables that were sent via POST; so make sure you don't use GET in your HTML form (recognizable by URLs like http://server/myscript.cgi?q=CGI+programming) or use url_param()
• Use a test script to see which parameters are passed to perl. See e.g. Dumping the CGI environment
• Consider using CGI::Lite, http://search.cpan.org/search?dist=CGI-Lite, it's faster than CGI.pm
• Look for a way to dump the names of all variables that were posted by the browser (does param() do that? I don't know, I don't use CGI.pm) -- maybe you just misspelt the name in the HTML file.
• Your use of $newtext is not really necessary -- why not just print FILE "$webpage1\n"; and use $webpage1 in the print statement later

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