How did they discover how the molecules look in real life? Is it today possible to take a "picture" of a molecule?
In reality we do not know what molecules look like in "real life" and, thanks to the Heisenberg uncertainty principle we never can with any great precision. At the molecular level our understanding of ethane is an averaged out, or probabilistic, description of where the protons neutrons and especially the electron may actually be. Even the X-Ray structures are not true pictures of the molecule but calculated models based on diffraction patterns. As chemists we get so used to drawing representations of molecules that help us understand reactions we sometimes forget that these are just models - not true representations of reality.
No it is not possible to take a picture of a molecule. A molecule is not a static entity; rather it is a spinning, pulsing, vibrating particle. It can be described mathematically, it can be represented as a model, but it cannot be visualised in the sense of taking a picture.