That depends on how you memory is allocated by a.
for the code you pasted:
g++ -gstabs -o a cpptest.cpp 
objdump -d ./a
0000000000400554 <main>:
  400554:   55                      push   %rbp
  400555:   48 89 e5                mov    %rsp,%rbp
  400558:   48 83 ec 20             sub    $0x20,%rsp
  40055c:   89 7d ec                mov    %edi,-0x14(%rbp)
  40055f:   48 89 75 e0             mov    %rsi,-0x20(%rbp)
  400563:   48 8d 45 ff             lea    -0x1(%rbp),%rax
  400567:   48 89 c7                mov    %rax,%rdi
  40056a:   e8 13 00 00 00          callq  400582 <_ZN1A7method1Ev>
  40056f:   48 8d 45 fe             lea    -0x2(%rbp),%rax
  400573:   48 89 c7                mov    %rax,%rdi
  400576:   e8 11 00 00 00          callq  40058c <_ZN1B7method2Ev>
  40057b:   b8 00 00 00 00          mov    $0x0,%eax
  400580:   c9                      leaveq 
  400581:   c3                      retq   
In this exact case, your object a/b's memory is in Stack.
allocated by 
400558:   48 83 ec 20             sub    $0x20,%rsp
as no member variable in your class, you class's instance will consume 1 byte (done by c++ compiler, for distinguish instances of the class)
you'll see the a's "this" pointer is transfered to _ZN1A7method1Ev (method1)
by 
  400563:   48 8d 45 ff             lea    -0x1(%rbp),%rax
  400567:   48 89 c7                mov    %rax,%rdi
In this exact code case, you no need and can not free a's memory (on stack) before b.
- if you mean memory allocated by A. by malloc/new .
then you should write free/delete code in A's destructor.
and put a to an scope wrapped by {}, when a out of the scope the destructor will be called (which is automatically done by c++ compiler).
like @Alok and @Luchian mentioned. 
- if your memory is allocated in form of member variable, like following: - class A{
    char foo[16];
  }; - when code is - A a;then "foo" is allocated on stack as part of instance of A. you can not do anything.
 - when code is - A *pa = new A();then object is allocated on A, feel free to delete it.- delete pa;