The default ports have been set in /usr/local/etc/httpd/httpd.conf to 8080 and in
/usr/local/etc/httpd/extra/httpd-ssl.conf to 8443 so that httpd can run without sudo.

To have launchd start httpd now and restart at login:
brew services start httpd
Or, if you don’t want/need a background service you can just run:
apachectl start

brew services start hoge

$ brew services start httpd
==> Tapping homebrew/services
Cloning into ‘/usr/local/Homebrew/Library/Taps/homebrew/homebrew-services’…
remote: Enumerating objects: 14, done.
remote: Counting objects: 100% (14/14), done.
remote: Compressing objects: 100% (10/10), done.
remote: Total 14 (delta 0), reused 9 (delta 0), pack-reused 0
Unpacking objects: 100% (14/14), done.
Tapped 1 command (44 files, 58.7KB).
==> Successfully started `httpd` (label: homebrew.mxcl.httpd)