What kind of treatment can I try at home for this pinched nerve. My doctor says this what I have but wants to wait and see for now.?

Easy. Look for stretching exercises, avoid lifting or things that can "make your face red", ice followed by heat, otc anti-inflammatory agents if nothing was prescribed.
Varies but time best. .For most with symptoms, time is the best healer. Other treatment ranges from activity restrictions, over the counter medications if no contraindications & where needed, lifestyle changes such as weight control & smoking cessation.