The electronegative O atom pulls all signals downfield. The effect decreases rapidly with distance.
We should expect the CH2 groups to be pulled about 2 ppm downfield from their normal value of δ1.4. They should give a 4H signal at about δ3.4
We should expect the CH3 groups to be pulled about 0.3 ppm downfield from their normal value of δ0.9 They should give a 6H signal at about δ1.2
The signals will be split by spin-spin coupling.
Here is a spectrum of diethyl ether.