For basic internet surfing, no media, you won't notice a big change probably. You'll see the biggest gains in videos streaming faster and file downloads. You probably won't see a whole lot of difference in your online gaming I would think, but I don't know how much you play online outside of NCAA which isn't terribly taxing from a network standpoint if I recall. Game/System updates will likely be noticeably faster.
As with all things network related, distance still plays a factor (Downloads from a server in a neighboring state will be faster than from the west coast) and you're likely not going to get 20mbs at all times (That's probably the best case speed). There's also the fact that you may be sharing your bandwidth with more or less users in your area depending on the ISP you're switching to and how many of your neighbors are also using that ISP (If it's cable based). That won't be a big deal most of the time, but during peak hours you'll likely see the slowest speeds.
As with all things network related, distance still plays a factor (Downloads from a server in a neighboring state will be faster than from the west coast) and you're likely not going to get 20mbs at all times (That's probably the best case speed). There's also the fact that you may be sharing your bandwidth with more or less users in your area depending on the ISP you're switching to and how many of your neighbors are also using that ISP (If it's cable based). That won't be a big deal most of the time, but during peak hours you'll likely see the slowest speeds.
Your DL is going to be a monster in the coming years.