Does 2s and 2p have the same energy?

'NO' the energy of atomic orbitals depends upon principal as well as azimuthal quantum number, which is  more common known as (n+l) rule .

According to (n+l) rule the atomic orbital has less (n+l)  value also has less energy vice versa.

For 2S => n= 2, l=0,. =>n+l= 2+0=2

For 2p => n= 2, l=2,. =>n+l= 2+1=3

Hence 2p have more energy than 2s orbital