In plain words
Even the person who hears it with faith and without fault-finding, freed from sin, shall attain the auspicious worlds of those whose actions are meritorious.
Word for word
The person who, having faith and free from fault-finding, would even hear it, he too, freed, would attain the auspicious worlds of those of meritorious deeds.
The commentators
Bhagavadgītābhāṣyam
अथ श्रोतुः इदं फलम् —
श्रद्धावान् श्रद्दधानः अनसूयश्च असूयावर्जितः सन् इमं ग्रन्थं शृणुयादपि यो नरः, अपिशब्दात् किमुत अर्थज्ञानवान् , सोऽपि पापात् मुक्तः शुभान् प्रशस्तान् लोकान् प्राप्नुयात् पुण्यकर्मणाम् अग्निहोत्रादिकर्मवताम् ॥ ७१ ॥
In plain words
And now, the fruit that comes to the one who listens —
'Full of faith' means: actually trusting it. 'Free of envy' means: with the fault-finding impulse laid down. Whatever man even listens to this text — and the word 'even' tells you how much more this holds for the one who grasps its meaning — he too is released from his wrongdoing and reaches the bright worlds, the worlds worth reaching, that belong to people of meritorious action: those who keep the fire oblation and the rites that go with it.
Close to the Sanskrit
Now, of the hearer, this is the fruit —
'Full of faith' — one who places trust; 'and free of envy' — being one from whom envy has been set aside; whichever man should even hear this text — from the word 'even' [it follows]: how much more one who possesses knowledge of its meaning — he too, freed from sin, would attain the auspicious, that is, the commended, worlds of those of meritorious deeds, that is, of those who perform the fire oblation and the other rites.