A student reads 8 pages on Monday, 16 pages on Tuesday, 32 pages on Wednesday, and 64 pages on Thursday. If this pattern continues, how many pages will she read on Friday and Saturday?

The number of pages read each day is:
Monday: 8 pages
Tuesday: 16 pages
Wednesday: 32 pages
Thursday: 64 pages
The pattern shows that the number of pages read doubles each day.

$$8 \times 2 = 16$$ $$16 \times 2 = 32$$ $$32 \times 2 = 64$$

Following the pattern, the number of pages read on Friday will be double the number of pages read on Thursday.

$$\text{Pages on Friday} = 64 \times 2 = 128$$

Following the pattern, the number of pages read on Saturday will be double the number of pages read on Friday.

$$\text{Pages on Saturday} = 128 \times 2 = 256$$

On Friday she will read $\boxed{\text{128}}$ pages and on Saturday she will read $\boxed{\text{256}}$ pages.