Haswell CPUs are the best for Dolphin. A G3220 and a Z87 mobo is a good way to get started.
If you have a little extra money to spend right now, opt in for an i3 4330, and then save up for an i5 4670k or an i7 4770k (only difference is if you want hyper-threading)
The G3220 has Intel HD graphics built in (as do the i3/i5/i7). You will need one eventually, but you wont need one just yet, as you will be able to play Dolphin with some enhancements
If you have a little extra money to spend right now, opt in for an i3 4330, and then save up for an i5 4670k or an i7 4770k (only difference is if you want hyper-threading)
The G3220 has Intel HD graphics built in (as do the i3/i5/i7). You will need one eventually, but you wont need one just yet, as you will be able to play Dolphin with some enhancements