New here and to Algolia. As it happens we at Lombiq just created an Orchard CMS module (plugin) with what you can add Algolia search to an Orchard site easily. It's open source (just as almost everything we do) and is up on GitHub: Orchard Algolia Search.
Not just that but since we also run DotNest (think wordpress.com for Orchard: click twice and you have an Orchard site in the cloud) it's also available in a hosted way for everyone (and also we created a super basic demo site too).
BTW Orchard is a quite cool ASP.NET MVC web CMS written in C#, so worth checking out with or without Algolia search in it :-).
Hope these many links won't throw off the spam filter. If you're curious, ask me anything!
Zoltán - Orchard developer and co-founder of Lombiq