Answer: Neither.
The word, also, can be used as a coordinating conjunction, but here it is an adverb, modifying shows.
Explanation: If the sentence had two clauses connected by also it might have coordination.
The cartoon strip shows Calvin's friendly relationship with the mythical tiger, Hobbes, and it also shows Calvin's acrimonious relationship with Suzie Derkins, the little girl who lives next door.
In this example, there are two sentences connected by the coordinating conjunction pair: and also.
