The Docs word processor isn’t as sophisticated yet as some desktop equivalents such as Word, especially in terms of advanced design tools. You can, however, create tables for more advanced layouts.
From the Table menu, use Table > Insert table, then move your mouse over the rectangular grid to create a table with the desired number of rows and columns.
If you want the grid itself to disappear, change its borders to a width of 0pt so that they become invisible. To achieve this, right click in the table and open Table properties…
From the Table menu (or the right-click menu) you can also edit the structure of your table.