
Smite Neutral |
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Short answer: yes.
Long answer: Bonuses to the same thing stack unless they are the same type of bonus. Untyped bonuses and circumstance bonuses are the exception. They stack with themselves. The +5 bonus to maintain a grapple is a circumstance bonus, and the +4 bonus from the grab special ability is untyped. Theyre different types, so they stack. In this case, even if either was the same type as the other, they would still stack. If, however, both were a morale bonus, they wouldn't stack, and you would use the larger of the two, so it would be +5 to maintain.

Quantum Steve |

Using grab after a successful attack is a free action that does not provoke AoOs.
However, having the grab ability doesn't prevent a creature for using combat maneuvers the old fashioned way. The creature can still attempt a grapple as a standard action as normal. This might be useful against a creature with a very high AC but lower CMD.
The standard action grapple would still follow all the normal rules for grappling, though it does get a +4 from the grab ability since that bonus applies to all grapple checks.