Constantly looking around the plane is just makes it burdensome rather than enjoyable.
One the physical aspects of flying are well lodged in that part of your brain (similar to the skills needed to drive a car), you will have more capactity to look out while enjoying the flight. And yes it should be about enjoying the flying, and what's around you.
As you get more experienced you can get an IMC Rating, or an IR(R) as it is due to be called hopefully, and then when the weather / visibility is poor, you may have the chance to get above the clouds where it is much smoother and 90% of the other GA aircraft will not present. Plus in VFR below the clouds you can try and make good use of a 'Traffic Service' from ATC so they can help look out as well, and / or get one of the comercially available traffic warning systems to also help you.
If you like driving cars, or walking around busy cities, like flying you cant just enable an autopilot / cruise control and do what you want without having to look what dangers are around you.