Definitely can second that. For optimal effect I recommend reading the various tornado, landslide, typhoon, etc. warning pamphlets first, since they’re rife with useful day-to-day vocabulary and expressions related to movement of people and things. Once one finds an interesting article in NHK News Web Easy, it’s useful to have a look at the “grown-ups” version of the article to compare and learn even more constructions and vocabulary.
The EASY articles are around N4+ level, the full articles are N3-N1 level, depending on the article. For instance, political and economic news are very formal and use appropriate to that expressions, including lots of する compounds. Around N2 level kanji should not be an issue anymore, though 
.
Ergo, reading Japanese is like peeling onions? 