Here is a little guide to get you going...
Set up a song in 4/4 time, which means that each bar will have 4 equal beats at the tempo of the track
Now place a KICK drum on beats 1 and 3, put a SNARE drum on beats 2 and 4 and then have a hi hat playing on each beat
This then gives you a very basic drum groove that you should start to recognize
So far you have beats on the "quarter notes" - ie there are 4 notes in the bar
In-between each "quarter note" is an "eighth note" (there are 8 eighth notes in a bar - so for the length of every quarter note there are 2 eighth notes) - now put some additional hi hats on each of the eighth notes
The tempo will be exactly the same but notice how the drums have a little more "urgency"
You should now basically have the intro drum beat to Billie Jean by Michael Jackson:
Finally, in-between each "eighth note" is a "sixteenth note" (there are 16 sixteenth notes in a bar - for for the length of every eighth note there will be 2 sixteenth notes - and for every quarter note BEAT in the bar there will be 4 sixteenth notes) - now put some additional hi hats on each of the sixteenth notes
You should now hear a solid "disco" beat - I don't know why I keep thinking of Michael Jackson examples tonight but compare the previous beat (8th note hi hats) with this beat that has the 16th note hi hats we have just discussed
Notice that the KICK and SNARE are predominantly doing exactly the same thing as Billie Jean but there is more variation (ie the quieter little kick drums to add some more movement to the drums to give more of a "groove" - as opposed to the more "solid" feel of Billie Jean
I would suggest trying to recreate these classic beats as a starting point by lining everything up "on the grid" - ie in perfect time
Then find out how to turn off the grid and slightly drag the snare hits before and after the exact beat and notice how much this changes the "feel" of the drums
The put some quieter kick and/or snares inbetween to add some interest
Once you learn to programme these 2 beats you should be able to start listening to songs and identifying the kick, snare and hi-hat patterns - once you have these locked in you can build the rest of the "ear candy" from here, but a solid beat will always give you a good foundation to build from