The sum of a geometric sequence can be found using the formula:

Sn = a * (1 - r^n) / (1 - r)

where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.

In this case, G1 = 1 and r = 1/2. Let’s assume we want to find the sum of the first N terms, so n = N.

Plugging in the values into the formula, we get:

Sn = 1 * (1 - (1/2)^N) / (1 - 1/2)

Simplifying further:

Sn = 1 * (1 - 1/2^N) / (1/2)

Sn = 2 * (1 - 1/2^N)

Therefore, the sum of the first N terms of the given geometric sequence is 2 * (1 - 1/2^N).