Taking totals based on criteria. Is this possible?

(See attachment below)

I'm developing a spreadsheet that calculates totals earnings gross and net for a group of employees daily. Basically, I have the whole thing developed. On sheet 2, I would like to pull just the weekly totals out of sheet 1. I have tried vlookups, and Index/match formulas, but its hard to get it to pull the info correctly.

Any help of suggestions?