How does the Alternative Favored Class bonus work for a Halfling Sorcerer Arcane Bloodline?
If I choose Sorcerer as my favored class I'm entitled to +1 hit point, +1 skill rank, or another race and class specific benefit as added in the Advanced Player's Guide.
If my character is a Halfling Sorcerer with the Arcane Bloodline the Halflings "Favored Class Option" for sorcerer is:
Sorcerer Select one bloodline power at 1st level that is normally
usable a number of times per day equal to 3 + the sorcerer's Charisma
modifier. The sorcerer adds +1/2 to the number of uses per day of that
the problem is that the 1st level Arcane Bloodline Power is familiar bond which has no "usable a number of times…", and neither does the 3rd, 9th, 15th or 20th level Bloodline Powers.
Does this mean I don't have the option of using the "another race and class specific benefit as added" each time I level up?
If you choose the Arcane bloodline then no, there are no bloodline powers that the Halfling favoured class option can apply to. But this doesn't mean that you don't gain any bonuses for sorcerer being your favoured class, you just fall back to the standard options. You can only chose the +1 hit point or skill rank per level.
If you wanted to use the Halfling's favoured class option then you would have to choose a different blood line, one with a power that meets the requirements, such as Celestial (Heavenly Fire power).