Damaging the grid is considerably easier to do than the level requiring a Faraday cage to protect electronics.
The grid is so susceptible to EMP because of the long transmission lines. EMP is a pulse where you measure the strength in volts / meter, i.e., the longer the run, the higher the voltage available to do damage. The grid can be protected at a reasonable cost by installing high speed switches that dump the pulse to ground to protect major components. The estimated cost to protect the most of the US grid is about $20 billion. Also note that the US grid is partially protected against EMP, it is not an all or nothing approach. Other nations are better protected or less protected than the US grid.
The US military protects their grid and electronics just fine using both published and classified methods. A friend of mine works on some of the classified methods for protecting electronics and that is all I know about it, it is classified. I assume other national military are similar in this regard.
Electronics tend to be susceptible because the voltage require to damage them is quite low and even a tiny fault typically ruins the device. However, since the devices are small, a weak EMP is often fails to destroy electronics since voltages are also low. Vacuum tube based systems are generally unaffected as voltage the spikes simply overheat the active components for a short time, but not enough to damage them significantly.
A Faraday cage is effective protection and not expensive. So electronics would be used and installed inside Faraday Cages. There other ways to protect electronics too, these methods would be also used.
So, in a world where EMP was a daily occurrence, things would simply be designed to survive the typical EMP. In our world, since EMP is rare, we often don't protect against EMP.
EMP levels required to damage humans and other life directly would have to be extremely massive as the field levels are non-ionizing. In theory you could make an EMP strong enough to harm people directly, but the power levels would be insanely high. Remember that humans and animals have been exposed to very high level of EMP by close proximity to nuclear weapons without harm (from EMP) and we routinely expose humans to high magnetic fields in MRI scans without harm.
At the level of EMP you propose, wider environmental harm is nonexistent. Solar flares have the same effect and the general environment is not affected by large solar flares. The Carrington Event would be a pretty major disaster today because so much of electronics, etc. is unprotected. But such events are thought to occur on the average of once per 500 years. Note that no biology or environmental damage was noticed in 1859. There are no unexplained problems during earlier historical natural EMP events either.
I just remembered a humorous account relating to very strong magnetic fields. Andre Geim won the Ig Nobel prize for levitating frogs in a magnetic field the field strength was 10 Tesla - this is nearly 1 million times the strength of Earth's magnetic field (25-65 microTesla). The frog was mot harmed.