I think you can use:
df = pd.DataFrame({'user_id':['a','a','s','s','s'],
'session':[4,5,4,5,5],
'revenue':[-1,0,1,2,1]})
print (df)
revenue session user_id
0 -1 4 a
1 0 5 a
2 1 4 s
3 2 5 s
4 1 5 s
a = df.groupby('user_id') \
.agg({'session': len, 'revenue': lambda x: len(x[x>0])}) \
.rename(columns={'session':'number sessions','revenue':'number_transactions'})
print (a)
number sessions number_transactions
user_id
a 2 0
s 3 3
a = df.groupby('user_id') \
.agg({'session':{'number sessions': len},
'revenue':{'number_transactions': lambda x: len(x[x>0])}})
a.columns = a.columns.droplevel()
print (a)
number sessions number_transactions
user_id
a 2 0
s 3 3
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