The short answer is probably not right away, according to an article at Bloomberg.com.
According to the report, one analyst, Michael Morris with UBS AS has written that "The ‘Rock Band’ franchise is unlikely to produce a profit this year or next. While he expects renewed demand from the Beatles version, losses will result from higher marketing and hardware costs."
The Bloomberg article also quotes Alex Rigopulos, the CEO of Harmonix, the MTV Networks’ owned company that created the game. "Rigopulos said profit margins will expand as users who own the plastic guitars and other gear buy new songs. “Abbey Road” will be available for a download purchase in October, followed by “Sgt. Pepper’s Lonely Hearts Club Band” in November and “Rubber Soul” in December, according to Harmonix." The initial game comes with 45 songs.
Bloomberg also says that VH1 is running three weeks of Beatle-related programming to promote the game.
"Talks to create ‘The Beatles: Rock Band’ started in late 2006," Bloomberg writes, "when MTV Networks executive Van Toffler learned that [George] Harrison’s son Dhani was a fan of ‘Guitar Hero.’ Toffler introduced Harrison to Rigopulos.