According to the docs, it's reasonably similar (untested):

use warnings;
use strict;

use LWP::UserAgent;

my $ua = LWP::UserAgent;

$ua->ssl_opts(verify_hostname => 0);
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The same section of the documentation linked to above, also states:

"This option is initialized from the PERL_LWP_SSL_VERIFY_HOSTNAME environment variable. If this environment variable isn't set; then verify_hostname defaults to 1."