G in this context stands for generation of cellular network technology
1st generation is simple gsm for calls / texts and won't get you online (not counting wap... it's 2012 after all)
2G is gprs and if you see E, that's for edge (think of it as 2.5G) - both of these are fairly slow but get simple surfing done
and then there'e the quicker 3G and H (HSDPA - "3.5G")
next up 4G/LTE, but the sensation isn't capable of that