I can hear the sound of insects chirping.

Literal

Insects [possessive-の] sound [subject-が] can-be-heard.

虫の音 (むしのね, 'the sound of insects') — note the reading ね rather than おと for natural, atmospheric sounds. This seasonal vocabulary is associated with autumn in Japanese culture, when the chirping of crickets and other insects is celebrated as a poetic backdrop. 聞こえます ('can be heard') is the intransitive potential of 聞く.