The description is there in the Śrīmad Bhāgavatam. And those who are playing with Him, those who are associates of Kṛṣṇa in Vṛndāvana, they are also not ordinary persons.
- itthaṁ brahma-sukhānubhūtyā
- dāsyaṁ gatānāṁ para-daivatena
- māyāśritānāṁ nara-dārakeṇa
- sārddhaṁ vijahruḥ kṛta-puṇya-puñjāḥ
- (SB 10.12.11)
Śukadeva Gosvāmī said that "These boys who are playing with Kṛṣṇa, they are not ordinary boys." Kṛta-puṇya-puñjāḥ: "After many, many births' accumulation of pious activities they have not got this position, the chance of playing with Kṛṣṇa." Similarly, everyone in Vṛndāvana when Kṛṣṇa was present, all the gopīs, all the cowherds boys...
So Kṛṣṇa comes. Yadā yadā hi dharmasya glānir bhavati bhārata, tadātmānaṁ sṛjāmy aham (BG 4.7). This is the process. Every living entity is part and parcel of Kṛṣṇa. He belongs to the Kṛṣṇa's family. Kṛṣṇa's family. This is our original position. Vṛndāvana means whole Kṛṣṇa's family. Even the birds, beast, trees, plants, water—all belong to the Kṛṣṇa's family. Advaya-jñāna. Therefore anything in Vṛndāvana is as good as Kṛṣṇa. Even the dust of Vṛndāvana is as good as Kṛṣṇa. This is the philosophy, Absolute Truth. So Kṛṣṇa, out of His causeless mercy, He comes. At a certain interval during one day of Brahma, He comes. He exhibits His līlā, that "Anyone who desires to go back to home, back to Godhead, they can enjoy with Me like this." This is Kṛṣṇa's mission. "Come on. Why you are playing here and suffering this māyā's play? Come to the real play." This is Kṛṣṇa's mission. Tyaktvā dehaṁ punar janma naiti mām eti kaunteya (BG 4.9). Kṛṣṇa comes: "Just try to understand Me, why I come."