Good grief...
Over sixty years later, nearly twenty since the Kremlin archives were opened, and there are still people who believe this nonsense...
The eyewitness stories do vary somewhat, but that's to be expected in the chaotic series of events in the Reich Chancellery bunker. After committing suicide by cynanide, Braun was was incompletely burned along with Hitler because not enough gasoline could be found. Among many others in the bunker, the work detail who actually carried the bodies out of the bunker and burned them all told the same story through countless interrogations in the hands of the Soviets and Western Allies.
The Russians recovered the remains and then
positively identified them through dental records. After this forensic examination was complete, the bodies of Hitler, Braun, the Goebbels, and the Goebbels children were all buried in a compound belonging to Red Army intelligence in a city in what would become East Germany. Later, IIRC, sometime in the late 60s or early 70s, all the bodies were exhumed, completely cremated, and the ashes dumped in a river.
After the war and because the USSR only knew the full story, Stalin and other Soviet leaders routinely raised questions about Hitler's death or supposed survival as a way to discomfort and sow dissension in the West. They did this knowing full well that their own intelligence agencies had totally verified Hitler's suicide and death.
The Western Allies most likely would have placed her in protective custody for several years. While her lack of culpability in the Nazi's various crimes can be assumed, there would be too many people who'd simply want to kill her. I'm also certain she'd be extensively debriefed by all the powers. As with Hitler's family, some of whom live in the US near New York City, Braun would eventually be given a new and quiet life much like what is done in the Witness Protection Program.
The Russians treatment of Braun would be different. First, the assertions that she'd be raped to death are nonsense. While an uncounted number of rapes did take place in Berlin and across Russian occupied Germany, Braun would not be among those victims. The Russians knew exactly where the Reich Chancellery bunker was and the troops assigned to seize the area weren't your average Red Army goons. The SMERSH and NKVD troopers who took the bunker would keep Braun perfectly safe because Stalin and Beria would have burned their children alive if anything happened to her.
In Russian hands, Braun would be debriefed and then gleefully put on display as a war trophy. I'm quite certain she'd be a life long inhabitant of the USSR, first as a captive, then as a "guest" used for various propaganda purposes. Braun would have been trotted out every so often to parrot whatever script her handlers presented her and then safely tucked back into her gilded cage.
As for Hitler's money, bank accounts, and copyrights, Braun won't see a penny from any of it whether she ends up in Allied or Russian hands. What's more, I'm sure she'd be canny enough not to even ask about it.
Bill