If your code is structured in packages, you would probably want a logger object per package or class. I'd probably do it something like this for each package:

package Some::Package;

our $Log = Log::Log4perl->get_logger(__PACKAGE__);
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Or you could wrap this in a class method, so you can inherit it:

sub Log {
  my $class = shift;
  return Log::Log4perl->get_logger( ref($class) || $class);
}
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It's probably not good design (and redundant) to explicitly write get_logger("some.logger") everywhere you want to log something - it makes it difficult to change the logger name, for one. If you have a reasonably well structured program, one logger object per package / class is probably enough anyway.