I’m going to recommend a caveat (which some will disagree with) that you should analyze every sentence to the point that you can recognize the basic grammar. Once you can look at a sentence and get a vague sense of what’s going on (what the particles are doing, the conjunctions, etc), then you can ease back a little and let it soak in.
This assumes a baseline education in grammar, so it shouldn’t take terribly too long to start recognizing the basics, even if the sentences still don’t make much sense yet.
If you haven’t already, be sure to check out my post on what first-time readers should expect. It’s written specifically for those joining the Absolute Beginner Book Club, but excluding club activity-specific parts, everything applies to anyone taking on reading native material for the first time.
Recommendation: