One who goes to sleep after Alos Hashachar Shavuos morning (or on any day) does not say the bracha of Hamapil (Shulchan Aruch w/Mishnah Brurah 239:1MB8, Piskei Tshuvos 494:5).
There is a well known minhag to bring flowers into shul and one’s home as a remembrance that on Shavuos we are judged on “Peiros Ha’ilon” – fruits. However, one should not cut off branches from fruit bearing trees for this purpose because of the Torah prohibition of “Ba’al Tashchis” (Shulchan Aruch w/Mishnah Brurah 494:3, Piskei Tshuvos 494:10).
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It might be interesting to note that the photo in your article is of Khal Adath Jeshurun (Breuer’s) in Washington Heights.
Their floral displays on Shavuos are a legendary effort involving 2 days and many volunteers.