I managed to style a treeview control to this nice gridview:
container = tk.Frame(self, relief='sunken', borderwidth=1, bg='white')
container.grid(column=0, row=0, sticky='nsew')
container.grid_columnconfigure(0, weight=1)
container.grid_rowconfigure(0, weight=1)
style = ttk.Style()
style.layout('NoBorder.Treeview', [('Flat.Treeview', {'border': 1})])
self.tree = ttk.Treeview(container, columns=self.header, show='headings', style='NoBorder.Treeview', height=0)
vsb = ttk.Scrollbar(container, orient="vertical", command=self.tree.yview)
hsb = ttk.Scrollbar(container, orient="horizontal", command=self.tree.xview)
corner = Frame(container, bg='SystemButtonFace')
self.tree.configure(yscrollcommand=vsb.set, xscrollcommand=hsb.set)
self.tree.grid(column=0, row=0, sticky='nsew')
vsb.grid(column=1, row=0, sticky='ns')
hsb.grid(column=0, row=1, sticky='ew')
corner.grid(column=1, row=1, sticky='nsew')
This way, the border around it is done by the container.
Can I somehow change this style to draw inner lines? After each row, and each column.

CanvaswithLabelto simulate table - like PandasTable (in link you can see image) or the same author tkintertable (here screenshots). I also found tksheet.