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When a monster has an ability that is not defined in the monster's individual stat block, check Universal Monster Rules for how that ability works.
Creatures with the web ability can use webs to support themselves and up to one additional creature of the same size. In addition, such creatures can throw a web up to eight times per day. This is similar to an attack with a net but has a maximum range of 50 feet, with a range increment of 10 feet, and is effective against targets up to one size category larger than the web spinner. An entangled creature can escape with a successful Escape Artist check or burst the web with a Strength check. Both are standard actions with a DC equal to 10 + 1/2 the creature’s HD + the creature’s Con modifier. Attempts to burst a web by those caught in it take a –4 penalty.
So the DC is an escape DC once you've been hit, not a reflex save to avoid being hit (that's what the +11 ranged attack is for).
Web spinners can create sheets of sticky webbing up to three times their size. They usually position these sheets to snare flying creatures but can also try to trap prey on the ground. Approaching creatures must succeed on a DC 20 Perception check to notice a web; otherwise they stumble into it and become trapped as though by a successful web attack. Attempts to escape or burst the webbing gain a +5 bonus if the trapped creature has something to walk on or grab while pulling free. Each 5-foot-square section of web has a number of hit points equal to the Hit Dice of the creature that created it and DR 5/—.
12hp is indeed the damage needed to cut a 5ft-square section (note that this matches the Bebilith's HD; note also the web has DR, which was not mentioned in the Bebilith's entry at all).
There does not appear to be any restriction in weapon used to damage the web.
See also nets and the entangled condition.

DM_Blake |

There does not appear to be any restriction in weapon used to damage the web.
But there is this:
Ineffective Weapons
Certain weapons just can't effectively deal damage to certain objects. For example, a bludgeoning weapon cannot be used to damage a rope. Likewise, most melee weapons have little effect on stone walls and doors, unless they are designed for breaking up stone, such as a pick or hammer.
In this case, the web is an object with hardness 5/- and 12 HP. Like any object, it might be impervious to damage by certain types of weapons. In this case, I think a GM would be well justified in saying that bludgeoning weapons cannot damage webs and maybe even piercing weapons if he were so inclined (although piercing weapons with a sharp edge, like a dagger, probably should be able to damage a web).