I'm glad this question was asked because I'm actually doing this, right now.
Back in the 90's and 2000's I read King in whatever order I felt like, barring the Dark Tower books, natch. From that, I would say that there is not a need to read King sequentially, but now that I'm doing it, I will say that it's a pretty rewarding experience.
I created an Excel spreadsheet of every short story, novella, novel, etc., that he has written, excluding non-fiction and comics, in the order they were initially published. This is going to take...a while. A very long while. I'm presently about halfway through The Stand and I've already read so much. There's been much picking up Night Shift for a story or two, putting it down and picking up Skeleton Crew, putting it down after a couple of stories and so on, and so on. I'm doing it for a blog, not just for fun, but I'm having a lot of fun regardless and noticing little connections I never picked up on before, like how the family from The Last Rung on the Ladder were likely neighbors of Abigail Freemantle from The Stand (they both lived in Hemingford Home, Nebraska).
Would I recommend this? Only if you're planning on committing to it. There's so much to read, but I think it's worth it.