All of the things that look like search engines get their results from Google, Bing, or (occasionally) Yandex. Building your own big search index is not something you can raise $1 million and just go do.
The guy who started DDG [https://news.ycombinator.com/user?id=epi0Bauqu] shared a lot of his solo search engine creation here. At one point at least he was running his own crawlers/index (but not IIRC exclusively). It might be instructive to search over past posts and find the details.
I don't think he was using anything like $1 million as, again IIRC, it was self funded. But this was a few years (10?) ago now.