Perl 5 adds variable scoping, pointers, modules, OOP and a bunch of powerful expressive stuff and abstractions -- but if you learn awk on top of what you've already got it means you're about 90% of the way to introductory Perl proficiency, and you can add the advanced stuff later.
So by all means learn awk! Just remember that it's not suitable for really big jobs -- if you need to create awk scripts that go beyond a couple of dozen lines of code, that's when you'll probably want to upgrade to Perl.
Life is good.
Where awk really shines is situations that call for a set of record based production rules, and if in fact your problem is in that domain, you could write hundreds or even thousands of rules without the problem becoming unsuitable for awk. Like for any domain specific language, you could consider the limitations imposed by awk as valuable discipline to keep you in the problem domain.
While perl can be written in an awk-like style, it's really much more of a general purpose language, so it can accommodate workflows that deviate substantially from the "sequentially process records" style that awk excels at.
Once you've tried Perl you don't want to flip back and forth to awk because the inconsistencies in syntax (within and to each other) will drive you mad.
Even when I think in sed or awk, I'll generally write in Perl; or, if I have an old awk script I'll use a2p to convert it.
a2p (awk to perl), s2p (sed to perl) and find2perl (find to perl) are all excellent ways to get you into Perl.
Nowadays my preferred language for almost anything is Python, but I still find myself writing Perl for some throwaways.