There are actual center pieces, so you can't mess up where you put each side, unlike the 6 by 6 and 4 by 4. There are 294 "stickers on the 7 by 7. (the pattern shown is called the super flip, see the pattern page)
We bought a YOU NEED deal. It is a magnetic stickerless 7 by 7 for $20.99. It is on Amazon, has prime, and works great. The magnets are strong and it moves smoothly. It is regular size and is definitely magnetic. It only has around 20 reviews, but it is really good. A non-magnetic 7 by 7 is only 2 dollars cheaper. A link to this deal: Go HERE Also, don't get it for really fast speed solving because if you make a big corner cut it can brake and you have to put it back together.
You solve this cube like any other 4 by 4+. You make the centers. (Each center has multiple phases until solved) Take notice that the last 2 centers are hard to make. Then you group the edges. (There is also different parts of doing that) Finally, you solve like a 3 by 3. There is no parity in the 3 by 3 stage, but there is the same edge parity as on the 5 by 5.
On a 7 by 7 all regular 3 by 3 moves apply with only one layer. Just like on 4 by 4, a "w" after a letter means with 2 layers. (Fw2 means an F move with 2 layers twice) When there is a 3 before a letter with a "w", you do that move with 3 layers (3Rw=An R move with 3 layers). To see some pictures of these, go: HERE
This is the first edge parity. The parity is on the red and white edge pair. You are going to do the parity algorithm (below) holding the edge pair where it is shown above. (all R, R', L', and L moves are with the third layer from their respective side)
This is the 2nd edge parity. The green and white edge shown is the edge that has parity. You hold the edge with parity as shown, but with the blue center in front. You then do the parity algorithm with all R, R', L, and L' moves on the second layer from their respective sides.
This is the third edge parity. The parity is again on the white and green edge pair. You hold the cube like shown with the edge with parity on top. You then do the parity algorithm (below) with all R, R', L, and L' moves with the 2nd AND 3rd layer from their respective sides.