See below.
The outline is completed below. Input and output is left out. Detecting the end of input by testing for a sentinel value is usually regarded as poor style.
main:
li $v1,0 # zero the sum
loop:
. . . . # prompt the user for input
li $v0,5 # read the integer
syscall # into $v0
beq $v0,-999,done # while ( $v0 =/= -999 )
blt $v0,-32,out # less than -32
bgt $v0,32,out # greather than 32
addu $v1,$v1,$v0 # if in range add
# else skip
out: b loop
done: . . . . # write out result