Learn the Persian alphabet without the overwhelm
Thirty-two letters, written right to left, that join together and change shape. It looks like a wall. Taken in the right order, it is about two weeks of pleasant work.
What you are actually dealing with
The Persian alphabet has 32 letters, written from right to left. It is based on the Arabic script with four extra letters for sounds Arabic does not have: پ (p), چ (ch), ژ (zh), and گ (g). There are no capital letters, and short vowels are usually not written at all, which is why you cannot simply sound out a new word on day one. Context fills the vowels in, and surprisingly quickly.
Why letters change shape, and why it is fine
Persian is joined-up writing by design. Most letters have up to four forms depending on whether they sit at the start, middle, or end of a word, or stand alone. That sounds like 128 things to memorise. In practice each letter keeps its skeleton and adjusts its tails, the way an English handwritten letter does. Learn the skeleton and the four forms come almost free.
The method: shape families, sound, then tracing
Do not learn the letters in dictionary order. Learn them in shape families. ب پ ت ث share one skeleton and differ only in dots. Group them, and 32 letters collapse into roughly a dozen shapes. For each family: hear the sound, read the letter in a real word, then write it. Writing is the step most learners skip and the one that makes recognition stick, because your hand learns the skeleton your eyes keep confusing.
How the app teaches it
Learn Farsi: Real Persian has a dedicated alphabet course: every letter with native speaker audio, and stroke-by-stroke handwriting practice on your touchscreen. You trace each letter with guided stroke order, then build up from letters to whole Persian words, plus the numbers. Because the app teaches spoken Farsi first, by the time you reach the alphabet you are decoding words you already know by ear, which is far easier than reading cold.
Your first week of reading
By the end of week one you can realistically read سلام (salām), آب (āb, water), and your own name in Persian letters. That first decoded word is a genuine thrill, and it arrives sooner than you expect. For a letter-by-letter reference, see the full Persian alphabet article.