Scientists have been studying gravity in terms of space and time for, well, quite some time now. What does studying gravity mean for the average person? Perhaps not much. Still, understanding how Gravity as a force can affect space and time is a big deal. How big? Literally astronomically big.
Imagine two black holes consuming matter relatively close to each other. Each one is pumping out unspeakable amounts of energy and turning mass from it's lunch and converting it into it's own. The larger the black hole becomes, the stronger it's force of gravity upon objects around it.
Now imagine two black holes merging together. This cosmic reaction emits an absurdly large amount of energy. ScienceDaily puts it best: These are collisions that produce more power than is radiated as light by all the stars and galaxies in the universe at any given time.
Holy crap. That is a nearly unfathomable amount of energy. What did we learn from these gravitational waves? We learned that gravity as a force effects our every day life in ways we probably don't even know. It opened up a whole new window of research.
How do we move forward from this point? Keep studying. Keep asking questions. Can we create an instrument that can read gravitational waves on a smaller level? Does every mass have some kind of gravitational wave that can be quantified and measured? If so, how does this gravitational wave affect us in our every day lives?
Could being surrounded by objects with great mass effect us in any way as humans? I could go on, but you get the point. Expect more to be coming out of this field in the future. I believe we are about to go down a rabbit(or black) hole that goes much, much deeper than we realize.