Kaejae, it is rainy season. The on-line weather is usually wrong as it will call for rain even if it is just an afternoon shower, but that being said there is more of a chance for all-day rain durning the summer and fall. At this time, many tropical storms or hurricanes also develop, and this is why it is the low season.
That being said, without something like that happening, you can probably expect a little rainy weather during this period, and some pretty good weather too, regardless of what the on-line reports say. But hey, its your honeymoon, so if its raining, I am sure you can find something to do inside. It won't rain the whole time, and if you are lucky, it won't rain at all except maybe a little at night.