That article (https://www.bnl.gov/newsroom/news.php?a=222117) has the answer:
“In commissioning tests in a basement lab at SBU, ramping up the voltage to the goal of 350 kilovolts took about 23 hours. Then the gun operated maintenance free for six months”
The goal isn’t to get a high voltage, though; it’s to get fast electrons. for that, the article does say what this machine does: “The powerful gun speeds up the velocity of electrons to 80 percent the speed of light”
By the way, 350kV does not look enormous compared to cathode ray tubes. https://en.wikipedia.org/wiki/Cathode-ray_tube#Body: “The glass formulation determines the highest possible anode voltage and hence the maximum possible CRT screen size. For color, maximum voltages are often 24–32 kV, while for monochrome it is usually 21 or 24.5 kV”.