Yes, BEY is fully equipped to handle the A380 in every way.
Yes, long and strong runways, wide enough and strong enough taxiways, wide enough gates to be able to support the massive width of the A380, etc.
Beirut has 3 runways, 1 of which was built in 1998 and 1 of which was built in 2001, both designed to handle the A380.
Beirut International Airport completed a massive airport redevelopment program which lasted from 1994 to 2001. It was one of the largest airport redevelopment programs of the 90's and it lasted 7 long years. The plan is that Beirut will become a regional hub connecting the East and West, competing with Dubai.
It consisted the rehabilitation of several buildings such as the radar building and the construction of several new buildings such as a new fire rescue building and most importantly, a brand new 23-gate terminal replacing the old terminal built in the 50's.
It also consisted of the construction of two brand new concrete runways, runway 03/21 and runway 17/35.
The old one is the one directly parallel to it which is old and gray looking. It was converted to a taxiway when the new 03/21 opened. The new 03/21 opened in 1998.
The new 03/21 is 12,467ft. long (big increase), made of concrete, is HIRL/CL (High Intensity Runway Lighting and Centerline Lighting), and has at least CAT I ILS (I believe it is being upgraded to CAT II
or CAT III), it opened in 1998.
When the new 03/21 was completed, the old 03/21 was converted to a taxiway. It was only 10,433ft. long, made of asphault, was only HIRL (High Intensity Runway Lighting), and didn't have an ILS at all, not even LOC.
17/35 is 11,138ft. long, the one that goes out into sea which is CAT III. It opened in 2001.
Below is the new 17/35:
The old asphault 10,663ft. long 18/36 was kept open, although it isn't used much at all anymore. All the big stuff lands on 17/35 and occasionally 03/21.
The new 03/21 is the runway on the right, while 17/35 is the sea runway on the left, and the old 18/36 is the one that is pretty much completely perpendicular in the middle:
Like I said, a brand new terminal was constructed. Phase I which consisted of half of the terminal and Gates 1-12 was completed in 1998 (the eastern concourse), while Phase 2 which consisted of the western half of the terminal and Gates 13-23 was completed in 2000. Total number of gates is 23, 21 of which have jetways, 2 of which are dual jetways. Gates 4 and 22 are bus boarding gates which are not used at the moment because there is no need.
The photo on the left is what the area looked like in the early 90's (photo was taken in 73, but nothing changed) while on the right is what it looked like in 2000 taken from roughly the same spot on the tarmac.
Here is a nice overview. The runways do not intersect even though runway 18/36 just touches 03/21. The reason for this is so aircraft that land on runway 03 can exit off of the tip of runway 36 when it is not in use (and it is rarely used these days). Both runway 17/35 (the primary landing runway) and runway 03/21 (the primary take-off runway) are equipped to handle the A380s.
The new taxiways and taxiway connecters built for the new runway were specifically built wide enough and strong enough to handle the A380. They were also built out of a high grade concrete making them very strong and long lasting. Many of the old taxiways were refurbished and reinforced as well.
This massive rehabilitation project of the airport which took almost 10 years to complete was done specifically so that Beirut could have a world-class facility able to handle the A380 and hopefully one day in the future compete with Dubai.
"Generosity is giving more than you can, and pride is taking less than you need." - Khalil Gibran