A Cleric is alignment-restricted:
Alignment: A cleric's alignment must be within one step of her deity's, along either the law/chaos axis or the good/evil axis (see Additional Rules).
Asmodeus is a lawful evil (LE) deity, but the Pact Servant faith trait allows a divine caster to treat Asmodeus as if he were lawful neutral (LN) for alignment purposes:
You may treat Asmodeus as if he were a lawful neutral deity for the purposes of determining your own alignment as a cleric, inquisitor, or other divine spellcaster.
Thus it's possible to make a lawful good (LG) Cleric of Asmodeus with the Pact Servant trait. Such a Cleric would also channel positive energy and cast spontaneous cure wounds spells.
However, Clerics are also restricted in casting spells with opposing alignment descriptors:
Chaotic, Evil, Good, and Lawful Spells: A cleric can't cast spells of an alignment opposed to her own or her deity's (if she has one). Spells associated with particular alignments are indicated by the chaotic, evil, good, and lawful descriptors in their spell descriptions.
This means that good Clerics cannot cast [evil] spells. This also means that Clerics of evil deities cannot cast [good] spells.
That implies that a LG Cleric of Asmodeus can cast neither [good] nor [evil] spells. This would even include typically Asmodean spells like Summon Accuser, Infernal Healing, or Hellfire Ray.
The Summon Monster spells have an alignment descriptor matching the alignment subtypes of the summoned monsters:
When you use a summoning spell to summon a creature with an alignment or elemental subtype, it is a spell of that type. Creatures on Table 10–1 marked with an “” are summoned with the celestial template, if you are good, and the fiendish template, if you are evil. If you are neutral, you may choose which template to apply to the creature. Creatures marked with an “” always have an alignment that matches yours, regardless of their usual alignment. Summoning these creatures makes the summoning spell's type match your alignment.
A Bearded Devil has the lawful & evil subtypes, so summoning it would be a spell with the [evil] descriptor, making the LG Cleric of Asmodeus unable to summon it. However, this contradicts the unique summon rules of Asmodeus, which state that his Clerics can summon Bearded Devils.
I think specific ("able to summon bearded devils") beats general ("can't cast spells of opposing descriptor"), but I might be wrong, so:
Is a LG Cleric of Asmodeus able to summon a Bearded Devil?
[Am I fundamentally wrong to think LG Asmodeus-Clerics can cast neither good nor evil spells?]