LEMP + WordPress site loading too slow.

Hi, I’m new to DigitalOcean and currently set up WordPress site on LEMP on 1GB Ram 30GB SSD Disk New York 3 Ubuntu 14.04.3 x64

I have over 400MB of data in MySql and notice my site is loading very slow. I have tested with no plugin activated + WordPress default theme but it does not make any dramatic improvement on page loading.

I have ran top on homepage load and this is how it looks like but have no idea where to go from here. When the page loads, CPU takes up almost 100% on php5-fpm.

%Cpu(s): 91.6 us,  8.4 sy,  0.0 ni,  0.0 id,  0.0 wa,  0.0 hi,  0.0 si,  0.0 st
KiB Mem:   1017860 total,   764648 used,   253212 free,     4324 buffers
KiB Swap:        0 total,        0 used,        0 free.   265676 cached Mem

  PID USER      PR  NI    VIRT    RES    SHR S %CPU %MEM     TIME+ COMMAND
 1788 www-data  20   0  409616 106304  25172 R 18.6 10.4   0:09.44 php5-fpm
 1804 www-data  20   0  409624 104380  23244 R 18.6 10.3   0:04.69 php5-fpm
 1832 www-data  20   0  409016  99672  19880 R 18.6  9.8   0:01.16 php5-fpm
 1833 www-data  20   0  385340  76320  19892 R 18.6  7.5   0:00.96 php5-fpm
 1805 www-data  20   0  409136 101436  20676 R 18.3 10.0   0:05.67 php5-fpm
  928 mysql     20   0  886948  67060   3632 S  7.3  6.6   1:17.93 mysqld
    8 root      20   0       0      0      0 R  0.3  0.0   0:00.90 rcuos/0
 1393 ohsik     20   0   24820   1312    864 R  0.3  0.1   0:02.67 top
    1 root      20   0   33500   2312    936 S  0.0  0.2   0:01.71 init
    2 root      20   0       0      0      0 S  0.0  0.0   0:00.00 kthreadd
    3 root      20   0       0      0      0 S  0.0  0.0   0:00.04 ksoftirqd/0
    5 root       0 -20       0      0      0 S  0.0  0.0   0:00.00 kworker/0:0H
    6 root      20   0       0      0      0 S  0.0  0.0   0:00.99 kworker/u2:0
    7 root      20   0       0      0      0 S  0.0  0.0   0:00.89 rcu_sched

Any idea where to go from here? Do I need bigger size droplets or some kind of server optimization?