I’m by no means an expert when it comes to print typesetting, and web typography is a pretty complex subject, but ultimately you can achieve a similar effect by establishing proper vertical rhythm:
There are some great resources available like this or this that allow you to generate your own CSS rules for proper vertical rhythm, which can either be included in your project with custom code or by manually styling your text elements within the Style panel.
I don’t have too much experience other than some research and a bit of testing, but it should be fairly straightforward since it uses relative units. If it’s something you want to explore on your project and you run into any issues, feel free to reach out!