Yes, infection is much more likely indoors because there's no breeze to blow away and evaporate your droplets before they land on someone else's face. The beach pictures pissed us all off but in terms of large outdoor gatherings the beach is probably one of the safest places because there is almost always a sea breeze.
What worries me is that lots of people are going back to work, lots more people will be using public transport and children are starting to return to school at the exact same time the weather has got a lot cooler, so people will be coming home and spending more time indoors with the people they live with. And they in turn are going back to work, using public transport, going back to school ...
We don't know yet whether this virus is seasonal because we only have half a year's data and different countries have had outbreaks at different times. We still have no evidence that catching the virus gives us immunity although it would be reasonable to expect it gives us at least some immunity - we just don't know how much or for how long. All the evidence so far suggests that in all countries the vast majority of people have not had the virus and so remain susceptible.
A second wave is not inevitable, it depends on our continued ability to track and contain the virus as we ease restrictions. I am not convinced that our test, track and isolate system is yet up to the job. We are playing a massive game of catch-up because of the arrogance of our public health system and the hubris of our government.
I think it's extremely dangerous to be easing restrictions before we have a fully functioning system of testing, contact tracing and isolation in place.