The Collaborative International Dictionary of English v.0.48:

Alphabetarian \Al`pha*bet*a"ri*an\, n.
   A learner of the alphabet; an abecedarian. --Abp. Sancroft.
   [1913 Webster] Alphabetic

Moby Thesaurus II by Grady Ward, 1.0:

27 Moby Thesaurus words for "alphabetarian":
   abecedarian, apprentice, articled clerk, beginner, boot,
   catechumen, debutant, entrant, fledgling, freshman, greenhorn,
   ignoramus, inductee, initiate, neophyte, new boy, newcomer, novice,
   novitiate, postulant, probationer, probationist, raw recruit,
   recruit, rookie, tenderfoot, tyro