Let me restate my understanding of your question for clarity: Do you think using more greenhouses instead of the alternative could reduce environmental pesticides that are harmful to bees, and thus help the bee population to improve?
I certainly think it's possible. However—
Not all areas are well-suited for greenhouses. Some require more temperature regulation than others, and that might be costly.
Most of the pesticide-laden crops out there are probably grains, though (not fruits and other vegetables), and I have a hard time envisioning companies growing mass amounts of grain in greenhouses. Grain takes a lot of space. Maybe they'll find a way to make it work (like breeding or engineering giant grains that produce a whole lot more grain per stalk, volume-wise).
If we had as many greenhouses as we had fields, there might not be much for the bees to pollinate. So, that could be a problem.
Pests (such as whiteflies) can be a pretty big problem inside greenhouses. I wouldn't expect greenhouse-grown crops to be inherently pesticide-free. Same for fungicides, miticides, synthetic fertilizers, etc. However, at the very least, They shouldn't have to use herbicides in greenhouses, unless they're growing directly in the ground on the natural soil.
I don't see enough evidence to support the notion that using more greenhouses would help the bee population, although I do think seeking to reduce pesticide usage is a noble goal. Bees seem to proliferate more when outdoor vegetation proliferates more.
Even if bees could enter greenhouses, the pesticide problem still exists (whether or not to the same degree), but the reduced herbicide might be beneficial. (And I'm sure bees don't discriminate too much between weeds and domestic garden plants when it comes to pollination, as long as they have the right sorts of flowers.)
The urbanization of society likely has as much, or more, to do with bee decline as anything. For instance, in cities, they spray pesticides (and not just for agricultural reasons, but to kill mosquitos and loads of other things). Citizens in their homes are said to spray more pesticides than farmers, and/or less responsibly: I'm not quite sure if that's true, misleading, or what, but I've read articles on it. Cities have less vegetation, and fewer flowers. Consequently, many urban areas probably have a scarcity of bees. It's nice that people plant things for bees specifically, and have flowering plants in their yards, when they do, but it still tends to be a far cry from the country, or fields of crops with flowers.
Agricultural fields (harmful chemicals aside) can be very beneficial for bees. Greenhouses don't have the same benefits.
So, while I think it's possible that using more greenhouses could help bees, I think it's more likely to hurt them, and lead to the urbanization of more farmland (living in a rural area, I can see that farmland is usually what people turn into subdivisions, and if people aren't farming on it, it'll likely get used for something else, eventually). I'd rather lobby for more responsible farming, an end to dessication, for people (not just the farmers among them) to make peace with insects, for the lost trade of weed pulling to make a comeback commercially, for governments to make more human-made islands, for economists to stop encouraging people to be unethical for the sake of Capitalism, for people to stop urbanizing good farmland (when they could be urbanizing other areas), etc.