You can do that today with Brave. Brave Rewards enables users to self-fund, and contribute automatically to the sites they visit, proportional to the time spent on those sites. See https://brave.com/rewards and https://creators.brave.com for more information. The beautiful thing about Brave Ads, however, is that everybody can support the content they love. Even if they don't have the ability to self-fund; they can convert attention into substantive support for content creators.

Okay, but, how do I give them actual money, instead of BAT? Will you redeem BAT for dollars?

Within the Brave ecosystem, BAT is the unit of account for attention and support. Those who receive BAT, however, do not have to hold BAT. We offer creators and publishers the option of automatically converting their received tokens from BAT into various other types of assets and/or currencies. Many keep the BAT, others auto-convert to Bitcoin, and a large portion auto-convert to their regional currency (USD, CAD, etc.).

Possibly what you're looking for, though less browser-dependent: https://coil.com/