It is a decently accurate picture, and an excellent summary of what was known in the 1940s, but even subsequent editions haven't really done too much to reflect information that came to light since then, which mainly involves laying out what the Soviets knew and did. If it was the only thing you read... you wouldn't be too bad off, but if you want to get a more rounded picture, here is an abbreviated reading list for you, chronologically:

Roper, Hugh Trevor. The Last Days of Hitler. 7th edition. Pan Macmillan, 2013 Kind of the granddaddy of Hitler's death studies. Dated though. Get the newer 7th edition, but this doesn't change much from the original 1940's publication. Roper did a masterful job proving by induction Hitler was dead but lacked the actual physical evidence at the time.

Bezymenski, Lev. The Death of Adolf Hitler. Harcourt, Brace & World, 1968. The first real acknowledgement by the Soviets that they had recovered anything. Basically an officially authorized leak, where Bezymenski was allowed to publish the autopsy report and a few select documents in the West, but without the Soviet government officially saying anything*.

Sognnaes R. Strøm F. "The odontological identification of Adolf Hitler: Definitive documentation by X-rays, interrogations and autopsy findings" Acta Odontologica 1973 vol: 31 (1) pp: 43-69 First proper confirmation by independent Western experts, using the leaked autopsy information and radiologies from 1944 that had come into the possession of the US government. Sognnaes has a few more papers on it, but this is 'the big one'.

Petrova, Ada. & Peter Watson. The Death of Hitler. WW Norton & Co., 1995. This one was huge. First real access to Soviet files on the investigation, and access to the skull too, which the Russians claimed to be real.

Brisard, Jean-Christophe & Lana Parshina. The Death of Hitler: The Final Word. Da Capo Press, 2018. This book has serious issues and I hate it for a number of reasons, but it is the first access granted to the teeth ever, and first to the skull since Bellantoni debunked it in 2009.