I think the question about the website being a physical entity that one finishes or acquires is an interesting one - can it get a brocha? Like a new shirt of a new tallis?
I think yes. Any website still has existence on a server somewhere - even if its data is stored energy on a laser disk - it still exists as a physical recording on the physical plane.
Now I think the more interesting question - is that do we need to stand next to the designated server in order to make the brocha - or is looking at the computer screen enough? And by extension can I make a brocha on a picture of a new tallis that someone bought for me and took a photo of?
hatov vehametiv I'm certain that you don't, the only case is when someone brings a second bottle of wine during a meal you have with other people.
as for sheehianu, it would make sense if you are happy, I guess comparable to printing a book. but the website is not done, it is a work in progress and also there's no takana of beracha on this case.
it doesn't mean that you shouldn't thank hashem for it, praying or making a seuda.