customise my google search box (place it into my theme's search box)

Hi Everyone!

My theme came with it’s own search box which i want to keep (because of it’s design – looks like this my search box looks like this : https://brolly.ca/?s=sidebar&x=0&y=0 )
but I’d also like to monetise by using the google search box.
Does anyone know how I can incorporate the google search box into my theme’s search box? I realise that it will have to say, ‘google custom search’ but the google search bar is too plain for me.

my theme’s search box: <div style=”float:left; padding:10px 10px;”>Search</div><form method=”get” id=”searchform” action=”<?php bloginfo(‘home’); ?>/”><div style=”float:left”><input type=”text” value=”<?php the_search_query(); ?>” name=”s” id=”s” /></div><div style=”float:left; padding:10px 10px;”><input type=”submit” id=”searchsubmit” value=”Go” /></div></form>

thank you!