The phrase "comprehend its meaning" is correct and usable in written English.
You can use it when you want to express that someone has understood the meaning of something. Example sentence: It took me a while to comprehend its meaning, but eventually I realized what was being said.
Even though the piece looks good, it is hard to comprehend its meaning.
The more universal a concept is the more frequently it enters into our thinking; and the more indirect its relation to sense-experience, the more difficult it is for us to comprehend its meaning; this is particularly the case with pre-scientific concepts that we have been accustomed to use since childhood.
The participants were instructed to read each sentence and to comprehend its meaning.
"Dead" was a foreign word which the boys could pronounce perfectly, soberly and matter-of-factly, without comprehending its meaning.
In the video, Mathambo − dressed in a crisp white suit with a vintage megaphone in hand − bombards us with images, each one skipping before we have time to comprehend its bizarre meaning: unidentified slithering objects, vomiting milk, heads being clumsily shaved, zombified followers.
His animal brain struggles to comprehend its form.
Yet we must not fail to comprehend its grave implications.
It was Stephen Spender, translator of Schiller, Rilke and Cavafy, who said: "When you read and understand a poem, comprehending its rich and formal meanings, then you master chaos a little".
In the age of information, most of those same people continue to obsess over the meaning of the Second Amendment without truly comprehending its intention and the time period it was conceived.
Just as Ashbery, or any poet, inevitably fails to realize his intentions, so too his reader — or any reader, reading any poem — will always inevitably fail to comprehend his meaning entirely.
Just as Ashbery, or any poet, inevitably fails to realize his intentions, so too his reader or any reader, reading any poem will always inevitably fail to comprehend his meaning entirely.
