The note is careful in its vocabulary. It speaks of alleged supernatural events and alleged messages, and it distinguishes recognizing the action of the Holy Spirit in the midst of a spiritual experience from confirming that the Virgin Mary has appeared. That distinction is the whole answer to the question. A pilgrim may go, pray, go to confession, and attend the evening program with a clear conscience; a pilgrim may not say the Church has approved the apparitions, and the Church has asked those who organize pilgrimages not to present them as authentication of the events.
The same note adds cautions. It finds the core of the messages, which call to prayer, fasting, conversion, and peace, sound, while noting that some messages contain imprecise or confusing expressions and should not be read as magisterial texts. The Apostolic Visitor, Archbishop Aldo Cavalli, is charged with evaluating future messages and intervening if needed, in dialogue with the Dicastery and the local bishops.
The parish's own description of the beginning is that on June 24, 1981 six young people reported seeing a figure on the hill of Crnica, and that the daily reports have continued since. Whether those reports are true is a question the Church has deliberately left open, and so should any honest pilgrimage page. The existing page on whether Medjugorje is approved by the Catholic Church explains the nihil obstat in more detail, and the 2019 permission for official diocesan and parish pilgrimages remains in force.