I don't know exactly how to find it in the general case (and I do not use perlbrew), but there is a file perllocal.pod to which module installations are written.

For example, I have a local installation of perl in /opt/maths-5.34.0, and it has this file at /opt/maths-5.34.0/lib/perl5/5.34.0/x86_64-linux/perllocal.pod.

The first entry in my perllocal.pod looks like this:

=head2 Mon Feb 28 14:46:21 2022: C<Module> L<Algorithm::Loops|Algorith
+m::Loops>

=over 4

=item *

C<installed into: /opt/maths-5.34.0/lib/perl5/site_perl/5.34.0>

=item *

C<LINKTYPE: dynamic>

=item *

C<VERSION: 1.032>

=item *

C<EXE_FILES: >

=back
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