I would suggest you to use window functions here in order to attain the rank of each row based on user_id and score, and subsequently filter your results to only keep the first two values.
from pyspark.sql.window import Window
from pyspark.sql.functions import rank, col
window = Window.partitionBy(df['user_id']).orderBy(df['score'].desc())
df.select('*', rank().over(window).alias('rank'))
.filter(col('rank') <= 2)
.show()
#+-------+---------+-----+----+
#|user_id|object_id|score|rank|
#+-------+---------+-----+----+
#| user_1| object_1| 3| 1|
#| user_1| object_2| 2| 2|
#| user_2| object_2| 6| 1|
#| user_2| object_1| 5| 2|
#+-------+---------+-----+----+
You can also understand this from spark official programming guide . It is a good place to start learning Spark.
Data
rdd = sc.parallelize([("user_1", "object_1", 3),
("user_1", "object_2", 2),
("user_2", "object_1", 5),
("user_2", "object_2", 2),
("user_2", "object_2", 6)])
df = sqlContext.createDataFrame(rdd, ["user_id", "object_id", "score"])