A BE33 LANDED AT ITS DEST ARPT AND LATER DISCOVERED THE RWY WAS CLOSED. THE FSS PREFLT NOTAM BRIEF DID NOT INDICATE THAT THE RWY WAS CLOSED.

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I CONDUCTED A FLT FROM ZZZ TO ZZZ1. I SPOKE TO FSS FOR A FULL BRIEF PRIOR TO THE FLT. I THEN FILED AN IFR FLT PLAN. I WAS TOLD THAT A VISUAL COULD BE EXPECTED AT ZZZ1 WITH IFR ENRTE. I WAS IN CONTACT WITH ATC UNTIL I BROKE FREE OF THE CLOUDS 3 MILES N OF THE CITY. THANKS TO ZZZ2 RADAR COVERAGE I ALSO WAS IN CONTACT WITH ANOTHER ACFT THAT HAD JUST DEPARTED WHILE I WAS STILL IMC. I COMPLETED THE LNDG AND PARKED AT THE FBO. AFTER LNDG I OBSERVED SOME SANDBAGS AT THE END OF THE RWY WHICH I HAD ASSUMED WERE TO RETAIN RUNOFF DUE TO THE WORK IN THE AREA. HOWEVER THEY WERE AN X. I CONDUCTED MY BUSINESS AND THEN RETURNED. I ONCE AGAIN CONTACTED FSS TO FILE A RETURN FLT PLAN. I SPECIFICALLY ASKED FOR ALL NOTAMS. HE GAVE ME THE ONES FOR MY DEST (ZZZ). I SAID CHECK FOR ZZZ1. HE THEN SAID 'O' I SEE ONE LISTING A CLOSING FOR RWY 17/35. I SAID THAT WOULD HAVE BEEN NICE TO KNOW EARLIER WHEN I GOT THE FIRST FULL BRIEF. I WENT AHEAD AND FILED. I THEN SPOKE WITH THE CONTRACTORS PERFORMING DIRT WORK ABOUT ACCESS AND DEP. THE CONTRACTOR INDICATED THAT WAS FINE CROP DUSTERS HAD BEEN TAKING OFF AND LNDG ANYHOW. HE ASKED THAT I BE CAREFUL OF THE SAND BAGS AT THE END OF THE RWY. ONCE AIRBORNE I CONTACTED ZZZ2 APCH AND COMPLETED THE RETURN FLIGHT TO ZZZ.