When the character says "remember when 'access' was a thing?", he is talking about an adjective that became a verb.

When the character finishes saying "maybe we can eventually make language a complete impediment to understanding", he concludes the dialogue proving the natural mutations of language as disadvantages.

In the last speech, the character says "a complete impediment to understanding" to prove that turning nouns and adjectives into verbs makes communication impossible.

When the character says "verbing weirds language", he is talking about verbs that are used as nouns and adjectives.

The character uses the expression "got verbed" to talk about a linguistic spoken phenomenon that consists in taking nouns or adjectives and using them as verbs.