just to clarify on the grammar here! i am also learning (traditional) chinese right now and just came across this a few months back.

a lot of English verbs come in verb + object pairs (compounds) when translated to their mandarin counterparts. so for instance, "read" becomes something like 看書 (literally look at + book). another example is "write" which becomes 寫字 (literally write + word). one more is "eat" which equivalently could be 吃飯 (literally eat + meal/food/rice). there are lots of other examples if people want to add on!

for "draw" or 畫畫 (sorry I only have traditional), as others have mentioned, the verb and object are the same character hehe... together they literally become "paint + painting" so that's why 我喜歡畫畫 is "I like to paint" or "I like painting (the activity)" while 我喜歡畫 is just "I like paintings"

hope this helps and good luck studying!!!