Dimming on and off 2x5m led strip with arduino

Please can you tell me what should I look for in the datasheet?

Look at the Ron value in the data sheet, it will have a test condition showing the gate voltage you need to use to acheave that value. That is what you want to be 3V3.

will it be ok ? Or it will still run hot

How hot it runs depends on the current your strip draws.