First of all, the website look really good, but... it's not on your own domain name, so this is bad from a business point of view. I mean, I don't think you own the domain name altervista.org, do you?
Regarding the indexing, big domain names like altervista.org are usually crawled (visited) by google very quickly (within minutes), but even so I would wait a few days for your page to be discovered. If it's not indexed within 3-4 days... ok make it 7 days, just to be sure I would then throw backlinks at it or - since this domain name is so big - I would run some social media promotion at the page (twitter, facebook shares, etc.)
Eventually, your page will be indexed but your biggest problem remains: you do NOT own your website (altervista.org owns it). What if tomorrow altervista decides that they don't like you, or your website anymore and removes it? You're going to create a new website all over again and possibly lose sales too while this website is gone and until you create a new one. That's why it's better to buy your own domain name and create your website there so you can have full control over it
I checked these 3 domain names for you:
esptransporti.com
esptransporti.it
esptransporti.net
and unless they are trademarked terms you can register the .com or .net version as they are still available (I recommend you choose the .com version because it's more professional)
After you register the domain name (I recommend you register it with namesilo.com and then point the nameservers to whatever hosting company you want to host it with) log into the cpanel of this domain name, put Wordpress on it and start building a professionally looking website (like the one in your link).
After that, submit your website to Google Search Console and it will get indexed within a few days. There is obviously more to ranking the website and making money with it than getting it indexed, but since there's too much to discuss - and since you're only interested in indexing it for now - I won't get into details in this post.
My recommendation is to go grab the esptransporti.com domain name for $8-9 before some greedy mofo on this forum registers it and then contacts you to sell it to you for $1000 or more. Do this first and fast (but make sure that the words in the domain name "esp transporti" are not trademarked by some big company or you're running into troubles) and after you register it you can then deal with the other less important issues (making the website and indexing it)
