The Laravel team have made this an exceedingly simple process. Follow these 3 steps, and you'll have a Statamic site running that 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.
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2. Pick Statamic
Don't pick those other options. You want Statamic.
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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.
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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.