As an alternative to learning to program and learning Perl, you might step back to see if anyone has already solved the problem. If the logs are produced by a commonly used program, you may find that someone has already written a program to parse them and produce reports that would meet your needs.
As for learning Perl, you can find pointers to many good resources covering Perl generally in Getting Started with Perl.
Learning programming is not the same thing as learning Perl. It will take more than a few weeks to learn programming, if you have never done it before. Taking an introductory course may be a good place to start, at your local college or university.