Throwing some fuel in it and yanking the start rope is a waste of time and energy. The carb is likely gummed up or the gaskets and needle valve seat dried out. (Most of my yard equipment is "salvaged" from prior owners who did not do maintenance on the equipment.)
Buy a new spark plug. With old one out, quirt a bit of carb cleaner or gas into the spark plug hole. Install the new plug and now pull the starter rope a couple of times. If it kicks at all, it is worth saving.
At a minimum, you are going to need a carb rebuild kit and maybe a new float. Don't forget the mounting gasket(s). If there is any rust in the gas tank, remove it, add a bit gasoline and a hand full of clean small nuts/bolts washers (or very clean pea gravel) and shake well ! Empty and repeat until clean. Replace any hoses when you re-assemble.
Those old engines use "points". While they do last a long time, they do not have as much energy as a modern electronic ignition. Briggs & Stratton engines can be easily upgraded to a Magnetron electronic ignition for under $20 with parts from eBay. Makes a HUGE difference. I have a rototiller that is the same vintage and it starts 2nd or 3rd pull every spring.