Below query can be used to find object level permission of user database in SQL Server.

use <DB>     -- replace database name here
go
select @@servername as Server, db_name() as 'Database', su.name as 'UserName', so.name as Object, permission_name as Permission from sys.database_permissions dp
join sys.sysusers su on grantee_principal_id = uid
join sys.sysobjects so on major_id = id
order by su.name

Example:

use Dbalyfe
go
select @@servername as Server, db_name() as 'Database', su.name as 'UserName', so.name as Object, permission_name as Permission from sys.database_permissions dp
join sys.sysusers su on grantee_principal_id = uid
join sys.sysobjects so on major_id = id
order by su.name

Sample Output: