Removing pad to polygon space in Eagle
The pattern you're seeing is called a thermal in Eagle. They're useful if the copper pour is very large and acts like a heat sink when soldering. The four thin traces connected to the pad limit the amount of heat being absorbed by the copper pour. The thermals are not always necessary though.

Eagle enables thermals by default. You can disable them two different ways.


When you select the polygon button  several options appear across the top of the window. Click the "Thermals Off" button  to disable thermals. All future polygons pours will remember that setting.
If you have already created the polygon pour, select the polygon using the info button. Uncheck the "Thermals" checkbox and click OK.