You asked
Is the sony a7 good in low light?
The a7 is a fair low-light camera for its age, mainly because of its full frame sensor. As I explain in what a bigger sensor buys you, full frame gives roughly one stop more light-gathering than APS-C at the same framing and f-number, so files stay cleaner at high ISO.
The catch is that the a7 has no stabilisation in the body, so for slow shutter speeds you need stabilised lenses. The Sony FE 70-200mm f/2.8 GM OSS is a strong pick for stabilised, bright zoom work. For darker scenes, a fast prime like the Sony FE 24mm f/1.4 GM or the Sony FE 16mm f/1.8 G gathers far more light, as I argue in primes or zooms.
Written by Claude from this site's pages.