Yes, it is permissible, and the reward is for the recitation itself, since Allah praises "those who recite the Book of Allah" (Quran 35:29) without restricting the medium. The overwhelming view of contemporary scholars is that a phone or tablet is not a mushaf: the text is not permanently written on it but appears and disappears at the touch of a button, so touching the device without wudu is allowed — including for one who needs ghusl or is menstruating — and it does not fall under the verse cited for the mushaf, "None touch it except the purified" (Quran 56:77-79). This concerns touching the device; whether a person in a state of janabah may recite at all is a separate question on which the scholars differ. Some scholars still encourage reading from a physical mushaf where possible, out of reverence and to avoid the distraction of notifications. Whichever you use, the etiquette is the same: recite attentively and "with measured recitation" (Quran 73:4).
Q&A · Quran
Is it permissible to read the Quran from a phone or tablet, and is the reward the same?
Evidence — the daleel
On deen2u
Informational, not a personal fatwa. Consult a qualified scholar for rulings on your situation.