Translation:The sleepy, spotted cow is lying under the tree and resting.
I understood the sentence as something happening now. Hungarian has a nifty little word (szokott) for regular things and habits. I would say "Az álmos, foltos tehén a fa alatt szokott feküdni és pihenni." or "Az álmos, foltos tehén minden nap a fa alatt fekszik és pihen." Strictly speaking you are right but I don't think any native speakers would have understood this sentence that way.
What if it were a part of a longer dialogue? Like "Mit szoknak csinálni a tehenek minden nap ebéd után?", "Hát, az álmos, foltos tehén a fa alatt fekszik és pihen, az élénk és csíkos pedig fizikai tanulmányokat olvas." Maybe "szokott" wouldn't be repeted in the answer, but I'm not sure, what do you think?
The sleepy cow with spots is lying under the tree and resting.
However, there is a catch with the audio, as the stop after álmos is not long enough, so that the word álmos (sleepy) is articulated as if it were an attribute for foltos (spotted), and not an attribute for tehén (cow).
Az álmos-foltos tehén a fa alatt fekszik...
The cow with sleepy spots is lying under the tree...