Yes, although they're not particularly well regarded for CS (not bad, just not better than other places). They have a reputation for being overly focussed on theory, and this is also a discipline that other universities do very well.
I really like the look of Oxford’s computer science courses, but that’s partly because of the theoretical/philosophical bent to them.
The Oxbridge aura extends to every course, nobody would really know anything other than that you went there.
Whether it's good or not, my guess is it's much the same menu as anywhere else in any established broad degree course. There'll be optional courses that take you more theoretical or more practical, totally up to you, but the content ain't gonna vary terribly much.