"Under the influence of this heavenly illumination the scriptures that Christ had explained to the disciples stood out before them with the luster of perfect truth. The veil that had prevented them from seeing to the end of that which had been abolished, was now removed, and they comprehended with perfect clearness the object of Christ's mission and the nature of His kingdom. They could speak with power of the Saviour; and as they unfolded to their hearers the plan of salvation, many were convicted and convinced. The traditions and superstitions inculcated by the priests were swept away from their minds, and the teachings of the Saviour were accepted. AA 44.1"
"Then opened he their understanding, that they might understand the scriptures,"
Both passages discuss the disciples' understanding of scripture being opened, though EGW provides more detail.
"“Then they that gladly received his word were baptized: and the same day there were added unto them about three thousand souls.” AA 44.2"
"Then they that gladly received his word were baptized: and the same day there were added unto them about three thousand souls."
EGW directly quotes Acts 2:41.
"The Jewish leaders had supposed that the work of Christ would end with His death; but, instead of this, they witnessed the marvelous scenes of the Day of Pentecost. They heard the disciples, endowed with a power and energy hitherto unknown, preaching Christ, their words confirmed by signs and wonders. In Jerusalem, the stronghold of Judaism, thousands openly declared their faith in Jesus of Nazareth as the Messiah. AA 44.3"
"And they were all filled with the Holy Ghost, and began to speak with other tongues, as the Spirit gave them utterance."
Both passages describe the events of Pentecost, specifically the disciples being empowered to preach. EGW focuses on the result of the Holy Spirit's work, while Acts 2:4 describes the initial filling.
"And fear came upon every soul: and many wonders and signs were done by the apostles."
Both passages refer to the signs and wonders performed by the apostles during the Pentecost event. EGW mentions it as confirmation of their preaching, while Acts 2:43 highlights the fear and awe it inspired.
"The disciples were astonished and overjoyed at the greatness of the harvest of souls. They did not regard this wonderful ingathering as the result of their own efforts; they realized that they were entering into other men's labors. Ever since the fall of Adam, Christ had been committing to chosen servants the seed of His word, to be sown in human hearts. During His life on this earth He had sown the seed of truth and had watered it with His blood. The conversions that took place on the Day of Pentecost were the result of this sowing, the harvest of Christ's work, revealing the power of His teaching. AA 44.4"
"I sent you to reap that whereon ye bestowed no labour: other men laboured, and ye are entered into their labours."
The EGW passage directly echoes the sentiment and language of John 4:38, emphasizing the disciples entering into the labors of others, specifically Christ. The connection is clear and intentional.