A non-mobile HTML5 game is a website. One way to monetize a website is through advertisement. A painless solution which requires minimal work on your part is a system like Google Adsense which automatically chooses advertisement which might appeal to your audience, injects it into your website and pays you for every click.
You could also attempt to monetize your game through subscription or ingame micro transactions. But in that case you will have to create the payment infrastructure yourself and design your game in a way that these integrate well into the gameplay.
When you don't want your game to be embedded in a website and would rather want to market it as a stand-alone executable, there are also tools to wrap a web appliction in an executable. These usually work by creating a browser window without any toolbars or menus and loading your HTML page into it. Most users won't be able to distinguish it from a native application. However, I never used a tool like this, so I don't feel comfortable making product recommendations in this regard.
You can then market it just like any other game, for example on a digital download platform like, for example, Desura (Steam would also be an option, but the greenlight process is a barrier which is too high for most hobbyists).