Obsidian Publish doesnt publish a fully plugin’d out vault as a website, just the base markdown. So if you rely a lot on dataview, Canvas etc, theres not a direct vault-to-website path.
All that said, if you are using mostly the base plaintext markdown, there are free and fairly straightforward ways to a website. I’ve used 2 different methods to push my vault folder with git to github to autogenerate websites.
Here’s a big vault of dungeon23 megadungeon resources, similar to your notion project, that I did this way. https://old.sketchyvanrpg.com/vault/