Matthew Holst has six suggestions on how to benefit from reading the biblical genealogies here. Make sure to read the entire post, but here are Holst's six points.
1. Read Them
2. Pay Attention to Every Word
3. Pay Attention to Every Missing Word
4. Consider How They Remind Us of Life and Death
5. Consider How They Present to Us to Two Seeds
6. Consider How They Present to Us a Faithful, Promise-Fulfilling, Covenant Keeping God
HT: David Murray