The Laravel team have made this an exceedingly simple process. Follow these 3 steps and you'll have a Statamic site running you can log right into.
If you already have a Statamic site built, you should switch over to the Deploying Statamic on Laravel Forge guide.
1. Create a new site
Set your domain name, use PHP/Laravel/Symfony as the project type.
2. Pick Statamic
Don't pick those other options. You want Statamic.
3. Pick a Starter Kit
Now you can pick which Starter Kit you'd like to use. This Forge workflow only works with free/open source Starter Kits, so if you'd prefer one of the paid/commercial kits, you'll need to follow the local install and Deploy on Laravel Forge guides.
Set your email address and super user password, and you're good to go.
4. Sign into your new Statamic site
Assuming you've pointed your DNS to this server, all that's left is to head to yourdomain.com/cp
and sign into the Statamic control panel. The site is yours.