Final answer:
The sentence in question is a compound sentence, connected by conjunctions and enriched with vivid imagery and reflective language.
Step-by-step explanation:
The sentence "I love the man that can smile, that can gather strength from distress and grow brave by reflection" is an example of a compound sentence. This structure is identified by the use of conjunctions to connect two independent clauses that could each stand alone as a sentence. The use of vivid imagery and reflective language in this sentence contributes to a deeper level of narrative richness and emotional resonance.