Here is a link to the official statement from Grupo Aeroportuario del Pacífico (operator of SJD):
SJD's runway, taxiways, and aprons were quickly repaired to accommodate the humanitarian flights (inbound with relief supplies, outbound with tourists being evacuated), and cleanup efforts are currently underway to facilitate resumption of regular commercial ops.
Both of the terminals handling commercial flights at SJD - the older Terminal 1 and newer Terminal 2 - suffered extensive damage and will require several more days to become operational again. GAP (Grupo Aeroportuario del Pacífico) has publicly stated that they expect the airport to reopen to regular commercial service "within...approximately 10 days", which puts the official expected reopening date of SJD at Saturday, September 27th.
However, it is important to remember that while SJD in and of itself may be functional within a matter of days, Los Cabos at large will take months - and in some cases years - to return to normal. Just about everything needs to be extensively repaired, from devastated hotels to grocery stores and other businesses that were heavily looted. Flights will resume, but there will be very few places for incoming pax to stay for quite some time. I am assuming that most pax headed to SJD over the next few months will be contractors, technicians, volunteers, etc. involved with recovery efforts rather than the typical tourists.
Of course, Cabo will no doubt fully recover from this disaster in time, just as Cancun did after Hurricane Wilma. I visited Cancun in 2006 for Spring Break some 5 months after a similarly destructive hurricane, and it was clear that the city had made painstaking efforts to have as many businesses (hotels, restaurants, clubs, attractions, etc.) reopened for the seasonal crush of American tourists as possible. Cabo will probably largely be getting back to normal by the Thanksgiving/Christmas holidays and more or less back in full swing by Spring Break.