Much discussion happens on #perl6, our IRC channel.
Another way to stay tuned is reading posts from blogs that focus on Perl 6.
You can learn some basics about Perl 6 with these introductory screencasts by Gabor Szabo. Gabor also frequents our IRC channel.
Perl 6 is well represented on Rosetta Code, where you can see Perl 6 (and many other languages) applied to numerous programming tasks.
For more persistent discussions (and for the poor folks who can't use IRC) we have several mailing lists.
As of early 2014, the lists have very low traffic, but every question sent to it usually gets answered swiftly by at least one person.
You can subscribe to each list by sending an email to email@example.com.
Moderated lists for announcements and news. Fairly low traffic (a few mails per month).
Discussions on the Perl 6 language
Discussions on various Perl 6 compilers
User questions about the Perl 6 language and compilers
Coordination of events related to Perl 6 (often together with other Perl or open source events).