Bond Line Notation to Newman Projection
Key Questions

Answer:
You convert the bondline structure to a wedgedash structure. Then you convert the wedgedash structure to a Newman projection.
Explanation:
The bond line structure of ethane is
The wedgedash structures for the staggered and eclipsed conformations are:
Here's how to convert the wedgedash structures to Newman Projections.
Staggered Ethane
Step 1. View the molecule along the C1C2 axis with your eye at the lefthand end.
The closest bonds make an inverted Y, so you will choose that template for your projection.
Step 2. Place the groups onto your template.
All groups on the carbon atoms are H atoms.
And you have your staggered Newman projection for ethane.
Eclipsed Ethane
Step 1. Draw two eclipsed Newman templates.
Step 2. View the molecule along the C1C2 axis with your eye at the lefthand end.
The closest bonds make an inverted Y, so you will choose the second template for your projection.
Step 3. Place the groups onto your template.
All groups on the carbon atoms are H atoms.
And you have your eclipsed Newman projection for ethane.

A bondline notation gives no stereochemical information, but here's how to convert a wedgedash notation to a Newman projection.
PROBLEM
Convert the following wedgedash structure of 2chloro3methylpentane to a Newman projection through the C2C3 bond.
Step 1. Draw two Newman projection templates.
 Draw two circles.
 Put a dot in the centre of each. These represent C2. C3 is hiding behind the circles.
 On one circle, draw a Y with the spokes radiating from the dot at 120° angles. On the other circle, draw an inverted Y. These represent the bonds from C2.
 Draw lines coming off each circle that bisect the angles of the Y. These represent the bonds from C3.
You will choose one of these templates as the basis for your projection.
Step 2. View the molecule along the C2C3 axis with your eye closest to C2.
Your eye will be at the lower left of the image.
The closest bonds make an inverted Y, so you will choose the second template for your projection.
Step 3. Place the groups onto your template.
 The groups on C2 go on the front carbon, The groups on C3 go on the back carbon.
 The "normal" groups go on the vertical lines: CH₃ in front; CH₂CH₃ behind.
 The wedged groups go on the right hand side: H in front; CH₃ in back.
 The dashed groups go on the left hand side: Cl in front; H in back.
And you have your Newman projection.