How long does a good AES encryption take?
From this answer Different ways/algorithms for implementing AES you can see that AES is already pretty fast. By using the hardware instruction you can even get down to $\sim1.3$ cycles/byte[1].

$1 GB = 2^{30} B \approx 10^9 B$

Your CPU is working at $2.2$ GHz, in other word $2.2 \times 10^9$ cycles per second. To encrypt $1 GB$ you need $1.3 \times 2^{30}$ cycles. In other word, it would take $\frac{1.3 \times 2^{30}}{2.2 \times 10^9} = 0.634$ seconds. So clearly AES is super fast.

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[1] Breakthrough AES Performance with Intel® AES New Instructions