Learn Farsi: این یک موزه‌ی جدید و یک پارک کوچک است.

موزه ends in a silent 'h' which makes an 'e' vowel sound. When a noun ends in a vowel, the Ezafe takes a 'y' sound to prevent two vowels from crashing together, so we add a ی to make it -ye. پارک ends in a consonant (k), so it just takes the standard, unwritten -e sound.

Why are the words in the order موزه‌ی جدید instead of جدید موزه?

In Farsi, nouns almost always come before their adjectives. You say the noun first, attach the Ezafe particle (the -e or -ye sound), and then say the describing word.

Why is the verb است (is) at the very end of the sentence?

Farsi sentence structure normally puts the verb at the very end. Even though the English sentence starts with 'This is', the Farsi sentence follows the pattern 'This [a new museum and a small park] is'.

How should I pronounce the word و (and) in the middle of this sentence?

In formal Farsi, و is pronounced 'va'. However, in everyday speech, it is almost always shortened to a quick 'o' sound. So instead of 'jadid va yek', you will usually hear 'jadid-o yek'.