Newspapers were the easiest and best way to bridge that. They made it easy to pick a story where you had both some interest and enough background context.
I started with De Telegraaf, a popular newspaper, with short, simple stories and lots of photos. And over the course of 18 months worked my way up to serious papers like NRC Handelsblad and de Volkskrant.
So I'd give newspapers (and magazines) a go.
Back then, I'd sit in a cafe with my dictionary, reading their newspapers, and handwriting lists of words to learn. Nowadays it would be reading the paper's website on my laptop, pasting paragraphs into GPT, and adding the words to Anki etc :)