To some degree, this is a Sisyphean task: Google doesn't have one solitary index or signal anymore, it's extremely personalized. So even if you are number one for you, it's extremely likely that you won't be for much of the rest of the world.
And this assumes you have a unique-ish name/site/project.
You could at least get a better idea by searching with the !g bang through DDG. It won't solve the problem of other people's personal filters, but at least you'll get an objective result not based on your own.
And this assumes you have a unique-ish name/site/project.