Here's a good website that I had almost forgotten. You can read the texts, lukutekstit, study the grammar, kielioppi, and check the words from a word list based on each text, tekstikohtainen sanasto.
When you click tehtävät, exercises, you can read and listen to the texts in short chapters and answer multiple choice questions. The website is published by Finnish National Board of Education.
Ymmärrä suomea! = Understand Finnish!