Do 跟我读 (gēn wǒ dú) and 跟我念 (gēn wǒ niàn) have the same meaning ("read with me")?
Edit:

In the context of '跟我念', the standard version should be 唸 (recite). However, 念 is also an acceptable variant

The difference between 跟我读 and 跟我念

读出 = read out
念出 = recite / read out

In 跟我读 (follow me and read) ,  there have to be some written text for you to read it out.
In 跟我念 (follow me and read/ follow me and recite), you can either read from some written text or recite words from memory

念 literally means &quot;recite &quot;.  For example 念經, 念诗, 念咒

We can use 念 interchangeably with 读 (read out)  because &quot;recite&quot; can mean &quot;recite what you are reading&quot;