Solved with a lower level method, api_query:

#! /usr/bin/env perl
use Moo::Google;
use Data::Dumper qw (Dumper);

my $gapi = Moo::Google->new(debug => 0);
my $user = 'me@gmail.com';

$gapi->auth_storage->setup({ type => 'jsonfile', path => 'config.json'
+ });
$gapi->user($user);
$gapi->do_autorefresh;

$res = $gapi->api_query( {
    httpMethod => 'get',
    path => 'https://people.googleapis.com/v1/people/me',
    options => { personFields => 'emailAddresses' }
});

print Dumper $res;
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