Playing Sims 4 on a Surface Pro 3

Since it comes in a lot of configurations and you haven't supplied specifix it is impossible to say. Depending on configuration the answer would range from No to Maybe and Probably will.

What is configuration? Lol I know I sound like an idiot, but I’m not very good with this stuff. 

Ram, CPU, HDD, Graphics. A link to the specific version you are considering would help.

• CPU: 1.9GHz Intel Core i5-4300U (dual-core, 3MB cache, up to 2.9GHz with Turbo Boost)
• Graphics: Intel HD Graphics 4400
• RAM: 8GB LPDDR3

But I’ve heard that you can get i7 instead of an i5 if that helps you at all. 

The poor graphics means that it may be able to run the game in low to medium graphics. You did not mention the HDD/SSD so if there will be enough space I don't know. RAM and CPU are adequate.

@Stampyquack2467  IMO the Surface Pro is a very powerful business/student computer. Sims 4 is a 3D graphical game and should be played on a computer with a dedicated graphics chip and a cpu with a steady clock. This will require more power. The Surface Pro is designed to conserve power to let the battery last longer. Most integrated video chips do not have true dedicated video memory. This game requires 128Mb of true dedicated video memory to run properly. While there is no saying the game will not run on below spec computers, this game has future expansion and it is possible that if the game is running that conditions may exist to cause the game not to run properly.

From experience the game will run on a Microsoft Surface Book 2, with an i7 and a GeForce card. 

The GeForce card is located in the base, so for the game to run good the keyboard needs to be attached. 

Only issue, that Surface isn't below 500 dollar. So I'd suggest saving a little bit more money if you want to game and own a Surface.