Heating because of energy coming in from the outside means nothing for whether a reaction is endothermic or not. When calculating enthalpy, you usually try to minimize heat entering or leaving the system, with, say, a calorimeter, but of course you can't do that for photosynthesis. Photosynthesis is in fact endothermic. Chlorophyll absorbs one photon (which is not converted directly to heat, in this case), and loses an electron, which is passed through a complex chain of specialized pigments and enzymes, and is eventually used to pump protons into little sacs called thylakoids, building up a concentration gradient, which is then used to build simple sugars, not glucose, but G3P, a 3 carbon phosphate sugar which can be combined to make glucose, or put through various other reactions to build useful molecules. The whole reaction involves some heating, because it's not 100% efficient, but it's absorbing energy and putting a large part of it into carbon-carbon bonds, which is pretty much by definition endothermic. The leaf as a whole doesn't get hot because whenever photosynthesis is taking place, so is evapotranspiration which brings in water for photosynthesis while cooling the leaf (in most plants, there are some weird desert exceptions). Too much heat can cause big problems for the photosynthesis reaction, so plants carefully regulate evapotranspiration to keep the leaf at appropriate temperatures, and if too much water is being lost and the stomata (little valves on the leaf surface) get closed, photosynthesis is usually turned off.