The chap who is conducting this is Ludwig Wicki, who has done the Live to Projection series for The Lord of the Rings, so hopefully this will travel worldwide like that does throughout the year (I have Return of the King to look forward to this Halloween!).
Enterprising Young Men
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Nero Fiddles, Narada Burns/Black Holes Have a Lot of Pull
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End Credits
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Giacchino was asked about Star Wars, and has said that he wants John Williams to do it. So who knows will he do it! The TrekMovie article has a link to comments Williams made back in February, and Williams himself hopes to work on the new trilogy.
There's another clip from the concert that Giacchino tweeted from the start of the film, and more from the man himself, at the
TrekMovie article EDIT:
Giacchino tweeted this complete rehearsal video of Enterprising Young Men (I don't see any music related tags, so I'm open to suggestions!)